UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                 Schedule 13G/A
                                (Amendment No. 1)

                    Under the Securities Exchange Act of 1934

                                   Enzon, Inc.
                                   -----------

                     Common Stock, par value $0.01 per share
                         (Title of Class of Securities)

                                February 10, 2001

                            (CUSIP Number: 293904108)

                                December 31, 2000
                                -----------------
                       Date of event which requires filing

Check the appropriate box to designate the rule pursuant to which the schedule
is filed:

                                |_| Rule 13d-1(b)
                                |X| Rule 13d-1(c)
                                |_| Rule 13d-1(d)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be filled for the purpose of Section 18 of the Securities Exchange Act of
1934 (the "Act") or otherwise subject to the liabilities of that section of the
Act, but shall be subject to all other provisions of the Act (however, see the
Notes to Schedule 13G).


                                       1


CUSIP No. 293904108                      13G                  Page 2 of 10 Pages
- --------------------------------------------------------------------------------
1   NAME OF REPORTING PERSON
    S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

    Paramount Capital Asset Management, Inc.
- --------------------------------------------------------------------------------
2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) |_|
                                                                         (b) |_|
- --------------------------------------------------------------------------------
3   SEC USE ONLY


- --------------------------------------------------------------------------------
4   CITIZENSHIP OR PLACE OF ORGANIZATION

    Delaware
- --------------------------------------------------------------------------------
                  5    SOLE VOTING POWER

                       None
                  --------------------------------------------------------------
  NUMBER OF       6    SHARED VOTING POWER
    SHARES
 BENEFICIALLY          300
   OWNED BY       --------------------------------------------------------------
     EACH         7    SOLE DISPOSITIVE POWER
  REPORTING
    PERSON             None
     WITH         --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER

                       300
- --------------------------------------------------------------------------------
9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

    300
- --------------------------------------------------------------------------------
10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

                                                                            |_|
- --------------------------------------------------------------------------------
11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

    0.0%
- --------------------------------------------------------------------------------
12  TYPE OF REPORTING PERSON*

    CO
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT


                                       2


CUSIP No. 038505103                      13G                  Page 3 of 10 Pages
- --------------------------------------------------------------------------------
1   NAME OF REPORTING PERSON
    S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

    Aries Domestic Fund, L.P.
- --------------------------------------------------------------------------------
2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) |_|
                                                                         (b) |_|
- --------------------------------------------------------------------------------
3   SEC USE ONLY


- --------------------------------------------------------------------------------
4   CITIZENSHIP OR PLACE OF ORGANIZATION

    Delaware
- --------------------------------------------------------------------------------
                  5    SOLE VOTING POWER

                       None
                  --------------------------------------------------------------
  NUMBER OF       6    SHARED VOTING POWER
    SHARES
 BENEFICIALLY          87
   OWNED BY       --------------------------------------------------------------
     EACH         7    SOLE DISPOSITIVE POWER
  REPORTING
    PERSON
     WITH         --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER

                       87
- --------------------------------------------------------------------------------
9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

    87
- --------------------------------------------------------------------------------
10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

                                                                            |_|
- --------------------------------------------------------------------------------
11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

    0.0%
- --------------------------------------------------------------------------------
12  TYPE OF REPORTING PERSON*

    PN
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT


                                       3


CUSIP No. 293904108                      13G                  Page 4 of 10 Pages
- --------------------------------------------------------------------------------
1   NAME OF REPORTING PERSON
    S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

    The Aries Domestic Fund II, L.P.
- --------------------------------------------------------------------------------
2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) |_|
                                                                         (b) |_|
- --------------------------------------------------------------------------------
3   SEC USE ONLY


- --------------------------------------------------------------------------------
4   CITIZENSHIP OR PLACE OF ORGANIZATION

    Delaware
- --------------------------------------------------------------------------------
                  5    SOLE VOTING POWER

                       None
                  --------------------------------------------------------------
  NUMBER OF       6    SHARED VOTING POWER
    SHARES
 BENEFICIALLY          32
   OWNED BY       --------------------------------------------------------------
     EACH         7    SOLE DISPOSITIVE POWER
  REPORTING
    PERSON             None
     WITH         --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER

                       32
- --------------------------------------------------------------------------------
9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

    32
- --------------------------------------------------------------------------------
10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

                                                                            |_|
- --------------------------------------------------------------------------------
11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

    0.0%
- --------------------------------------------------------------------------------
12  TYPE OF REPORTING PERSON*

    PN
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT


                                       4


CUSIP No. 293904108                      13G                  Page 5 of 10 Pages
- --------------------------------------------------------------------------------
1   NAME OF REPORTING PERSON
    S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

    The Aries Master Fund II
- --------------------------------------------------------------------------------
2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) |_|
                                                                         (b) |_|
- --------------------------------------------------------------------------------
3   SEC USE ONLY


- --------------------------------------------------------------------------------
4   CITIZENSHIP OR PLACE OF ORGANIZATION

    Cayman Islands
- --------------------------------------------------------------------------------
                  5    SOLE VOTING POWER

                       None
                  --------------------------------------------------------------
  NUMBER OF       6    SHARED VOTING POWER
    SHARES
 BENEFICIALLY          181
   OWNED BY       --------------------------------------------------------------
     EACH         7    SOLE DISPOSITIVE POWER
  REPORTING
    PERSON             None
     WITH         --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER

                       181
- --------------------------------------------------------------------------------
9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

    181
- --------------------------------------------------------------------------------
10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

                                                                            |_|
- --------------------------------------------------------------------------------
11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

    0.0%
- --------------------------------------------------------------------------------
12  TYPE OF REPORTING PERSON*

    OO (see Item 2)
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT


                                       5


CUSIP No. 293904108                      13G                  Page 6 of 10 Pages
- --------------------------------------------------------------------------------
1   NAME OF REPORTING PERSON
    S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

    Lindsay A. Rosenwald, M.D.
- --------------------------------------------------------------------------------
2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) |_|
                                                                         (b) |_|
- --------------------------------------------------------------------------------
3   SEC USE ONLY


- --------------------------------------------------------------------------------
4   CITIZENSHIP OR PLACE OF ORGANIZATION

    United States
- --------------------------------------------------------------------------------
                  5    SOLE VOTING POWER

                       None
                  --------------------------------------------------------------
  NUMBER OF       6    SHARED VOTING POWER
    SHARES
 BENEFICIALLY          300
   OWNED BY       --------------------------------------------------------------
     EACH         7    SOLE DISPOSITIVE POWER
  REPORTING
    PERSON             None
     WITH         --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER

                       300
- --------------------------------------------------------------------------------
9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

    300
- --------------------------------------------------------------------------------
10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

                                                                            |_|
- --------------------------------------------------------------------------------
11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

    0.0%
- --------------------------------------------------------------------------------
12  TYPE OF REPORTING PERSON*

    IN
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT


                                       6


ITEM 1(a).  NAME OF ISSUER:

            Enzon, Inc.

ITEM 1(b).  ADDRESS OF ISSUER'S PRINCIPAL EXECUTIVE OFFICES:

            20 Kingsbridge Rd.
            Piscataway, NJ 08854

ITEM 2(a)   NAME OF PERSON FILING:

            This statement is filed on behalf of Paramount Capital Asset
            Management, Inc. ("Paramount Capital"), Aries Domestic Fund, L.P.
            ("Aries Domestic"), Aries Domestic Fund II, L.P. ("Aries II"), Aries
            Master Fund II, a Cayman Island exempted company ("Aries Fund") and
            Lindsay A. Rosenwald, M.D. ("Dr. Rosenwald" and collectively,
            "Reporting Parties"). See attached Exhibit A which is a copy of
            their agreement in writing to file this statement on behalf of each
            of them.

            Dr. Rosenwald is an investment banker, venture capitalist, fund
            manager and sole stockholder of Paramount Capital,(1) a Subchapter S
            corporation incorporated in Delaware. Paramount Capital is the
            General Partner to each of Aries Domestic,(2) and Aries Domestic II,
            limited partnerships incorporated in Delaware. Paramount Capital is
            the Investment Manager to Aries Fund,(3) a Cayman Islands exempted
            company.

            Dr. Rosenwald, Paramount Capital, Aries Domestic and Aries Fund and
            their respective officers, directors, general partners, investment
            managers, or trustees have not, during the five years prior to the
            date hereof, been convicted in a criminal proceeding (excluding
            traffic violations or similar misdemeanors).

ITEM 2(b)   ADDRESS OF PRINCIPAL BUSINESS OFFICE OR, IF NONE, RESIDENCE:

            Paramount Capital's, Aries Domestic's, Aries II's, and Dr.
            Rosenwald's business address is 787 Seventh Avenue, 48th Floor, New
            York, New York, 10019. The business address for The Aries Fund is
            c/o Fortis Fund Services Cayman Limited, Grand Pavilion Commercial
            Center, 802 West Bay Road, Grand Cayman, Cayman Islands.

ITEM 2(c).  CITIZENSHIP:

            Dr. Rosenwald is a citizen of the United States of America.

ITEM 2(d).  TITLE OF CLASS OF SECURITIES:

            Common Stock, no par value per share.

ITEM 2(e).  CUSIP NUMBER: 293904108

ITEM 3.     |X| CHECK THIS BOX IF THIS STATEMENT IS FILED PURSUANT TO RULE
                13d-1(c)

ITEM 4.     OWNERSHIP

            For information concerning the ownership of Common Stock of the
            Company by the Reporting Persons, see Items 5 through 9 and 11 of
            the cover pages to this schedule 13G and footnotes thereto.

- ----------
(1)   Please see attached Exhibit B indicating the executive officers and
      directors of Paramount Capital and providing information called for by
      Items 2-6 of this statement as to said officers and directors. Exhibit B
      is herein incorporated by reference.

(2)   Please see attached Exhibit C indicating the general partner to each of
      Aries Domestic and Aries II and the general partner's executive officers
      and directors and providing information called for by Items 2-6 of this
      statement as to said general partners, officers and directors. Exhibit C
      is herein incorporated by reference.

(3)   Please see attached Exhibit D indicating the investment manager of the
      Aries Fund and the investment manager's executive officers and directors
      and providing information called for by Items 2-6 of this statement as to
      said investment manager and officers and directors. Exhibit D is herein
      incorporated by reference.


                                       7


ITEM 5.     OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS

            As of the date of the filing of this Schedule 13G Amendment,
            Reporting Persons ceased to be the beneficial owners of more than 5%
            of the shares of the Issuer.

ITEM 6.     OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER PERSON

            Not applicable

ITEM 7.     IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH ACQUIRED
            THE SECURITY BEING REPORTED ON BY THE PARENT HOLDING COMPANY

            Not Applicable

ITEM 8.     IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP

            Not Applicable

ITEM 9.     NOTICE OF DISSOLUTION OF GROUP

            Not Applicable

ITEM 10.    CERTIFICATION

            By signing below I certify that, to the best of my knowledge and
            belief, the securities referred to above were not acquired and are
            not held for the purpose of or with the effect of changing or
            influencing the control of the issuer of the securities and were not
            acquired and are not held in connection with or as a participant in
            a transaction having that purpose and effect.

Material to be Filed as Exhibits:

Exhibit A - Copy of an Agreement between Dr. Rosenwald, Paramount Capital, Aries
            Domestic, Aries II and Aries Fund to file this Statement on Schedule
            13G on behalf of each of them.

Exhibit B - List of executive officers and directors of Paramount Capital and
            information called for by Items 2-6 of this statement relating to
            said officers and directors.

Exhibit C - List of executive officers and directors of Aries Domestic and Aries
            II and information called for by Items 2-6 of this statement
            relating to said officers and directors.

Exhibit D - List of executive officers and directors of Aries Fund and
            information called for by Items 2-6 of this statement relating to
            said officers and directors.


                                       8


                                   SIGNATURES

After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.


                                  PARAMOUNT CAPITAL ASSET MANAGEMENT, INC.

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.
                                  Title: Chairman


                                  ARIES DOMESTIC FUND, L.P.
                                  By Paramount Capital Asset Management, Inc.,
                                  General Partner

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.
                                  Title: Chairman


                                  ARIES DOMESTIC FUND, II L.P.
                                  By Paramount Capital Asset Management, Inc.,
                                  General Partner

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.
                                  Title: Chairman


                                  THE ARIES MASTER FUND
                                  By Paramount Capital Asset Management, Inc.
                                  Investment Manager

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.
                                  Title: Chairman

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.


                                       9


                                   EXHIBIT A

                                   AGREEMENT

                         JOINT FILING OF SCHEDULE 13G

The undersigned hereby agrees to jointly prepare and file with regulatory
authorities a Schedule 13G and any future amendments thereto reporting each of
the undersigned's ownership of securities of Enzon, Inc.and hereby affirm that
such Schedule 13G is being filed on behalf of each of the undersigned.


                                  PARAMOUNT CAPITAL ASSET MANAGEMENT, INC.

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.
                                  Title: Chairman


                                  ARIES DOMESTIC FUND, L.P.
                                  By Paramount Capital Asset Management, Inc.
                                  General Partner

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.
                                  Title: Chairman


                                  ARIES DOMESTIC FUND II, L.P.
                                  By Paramount Capital Asset Management, Inc.
                                  General Partner

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.
                                  Title: Chairman


                                  THE ARIES MASTER FUND
                                  By Paramount Capital Asset Management, Inc.
                                  Investment Manager

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.
                                  Title: Chairman

Dated: February 10, 2001
New York, NY                      By /s/ Lindsay A. Rosenwald
                                     -------------------------------------------
                                  Name:  Lindsay A. Rosenwald, M.D.


                                       10


                                    EXHIBIT B

The name and principal occupation or employment, which in each instance is with
Paramount Capital Asset Management, Inc. ("Paramount Capital") located at 787
Seventh Avenue, 48th Floor, New York, New York, 10019, of each executive officer
and director of Paramount Capital is as follows:

NAME                                  PRINCIPAL OCCUPATION

Lindsay A. Rosenwald, M.D.            Chairman of the Board and sole
                                      shareholder, Paramount Capital Asset
                                      Management, Inc., Paramount Capital
                                      Investments LLC and Paramount Capital,
                                      Inc.

Mark C. Rogers, M.D.                  President of Paramount Capital Asset
                                      Management, Inc., Paramount Capital
                                      Investments, LLC, and Paramount Capital,
                                      Inc.

Peter Morgan Kash                     Director of Paramount Capital Asset
                                      Management, Inc., Senior Managing
                                      Director, Paramount Capital, Inc.

Dr. Yuichi Iwaki                      Director of Paramount Capital Asset
                                      Management, Inc., Professor, University of
                                      Southern California School of Medicine

Item 2.

During the five years prior to the date hereof, the above person (to the best of
Paramount Capital=s knowledge) has not been convicted in a criminal proceeding
(excluding traffic violations or similar misdemeanors). Additionally, during the
five years prior to the date hereof, the above person (to the best of Paramount
Capital's knowledge) has not been a party to a civil proceeding, of a judicial
or administrative body of competent jurisdiction, as a result of which such
person was or is subject to a judgment, decree or final order enjoining future
violations of, or prohibiting or mandating activities subject to, Federal or
State securities laws or finding any violation with respect to such laws.

Items 3-6.

Please refer to Items 3-6 herein reporting the beneficial ownership.


                                       11


                                    EXHIBIT C

The name and principal occupation or employment of the General Partner of Aries
Domestic and Aries II, which are located at 787 Seventh Avenue, 48th Floor, New
York, New York, 10019, is as follows:

NAME                                         PRINCIPAL OCCUPATION
- ----
Paramount Capital Asset Management, Inc      General Partner; Investment Manager

Exhibit B is hereby incorporated by reference.

Item 2.

During the five years prior to the date hereof, the above person (to the best of
Aries Domestic's and Aries II's knowledge) has not been convicted in a criminal
proceeding (excluding traffic violations or similar misdemeanors). Additionally,
during the five years prior to the date hereof, the above person (to the best of
Aries Domestic's and Aries II's knowledge) has not been a party to a civil
proceeding, of a judicial or administrative body of competent jurisdiction, as a
result of which such person was or is subject to a judgment, decree or final
order enjoining future violations of, or prohibiting or mandating activities
subject to, Federal or State securities laws or finding any violation with
respect to such laws.

Items 3-6.

Please refer to Items 3-6 herein reporting the beneficial ownership.


                                       12


                                    EXHIBIT D

The name and principal occupation or employment, which in the case of Paramount
Capital Asset Management, Inc. is located at 787 Seventh Avenue, 48th Floor, New
York, New York, 10019, of each executive officer and director of Aries Fund is
as follows:

PRINCIPAL OCCUPATION                              NAME
OR EMPLOYMENT                                     ----
- -------------

Paramount Capital Asset Management, Inc.          Investment Manager

Fortis Fund Services Cayman Limited               Administrator
Grand Pavilion Commercial Center
802 West Bay Road
Grand Cayman, Cayman Islands

Exhibit B is hereby incorporated by reference.

Item 2.

During the five years prior to the date hereof, the above person (to the best of
Aries Fund's knowledge) has not been convicted in a criminal proceeding
(excluding traffic violations or similar misdemeanors). Additionally, during the
five years prior to the date hereof, the above person (to the best of Aries
Fund's knowledge) has not been a party to a civil proceeding, of a judicial or
administrative body of competent jurisdiction, as a result of which such person
was or is subject to a judgment, decree or final order enjoining future
violations of, or prohibiting or mandating activities subject to, Federal or
State securities laws or finding any violation with respect to such laws.

Items 3-6.

Please refer to Items 3-6 herein reporting the beneficial ownership.


                                       13