<PAGE>   1
                                                                    EXHIBIT 25.1
================================================================================



                      SECURITIES AND EXCHANGE COMMISSION

                           Washington, D.C.  20549

                          -------------------------

                                   FORM T-1

                      STATEMENT OF ELIGIBILITY UNDER THE
                       TRUST INDENTURE ACT OF 1939 OF A
                   CORPORATION DESIGNATED TO ACT AS TRUSTEE

                          -------------------------

_____ CHECK IF AN APPLICATION TO DETERMINE ELIGIBILITY OF A TRUSTEE PURSUANT TO
                              SECTION 305(b) (2)

                 NORWEST BANK MINNESOTA, NATIONAL ASSOCIATION
             (Exact name of trustee as specified in its charter)

A U.S. NATIONAL BANKING ASSOCIATION                          41-1592157
(Jurisdiction of incorporation or                            (I.R.S. Employer
organization if not a U.S. national                          Identification No.)
bank)

SIXTH STREET AND MARQUETTE AVENUE               
Minneapolis, Minnesota                                       55479
(Address of principal executive offices)                     (Zip code)

                      Stanley S. Stroup, General Counsel
                 NORWEST BANK MINNESOTA, NATIONAL ASSOCIATION
                      Sixth Street and Marquette Avenue
                 Minneapolis, Minnesota  55479 (612) 667-1234
                              (Agent for Service)     

                          -------------------------

                         COOPERATIVE COMPUTING, INC.
             (Exact name of obligor as specified in its charter)

DELAWARE                                                     94-2160013
(State or other jurisdiction of                              (I.R.S. Employer
incorporation or organization)                               Identification No.)

6207 BEE CAVE ROAD                                    
AUSTIN, TEXAS                                                78748
(Address of principal executive offices)                     (Zip code)


                          -------------------------
                     9% SENIOR SUBORDINATED NOTES DUE 2008
                     (Title of the indenture securities)
================================================================================

<PAGE>   2
Item 1.  General Information.  Furnish the following information as to the
trustee:

                 (a)      Name and address of each examining or supervising
                          authority to which it is subject.

                          Comptroller of the Currency
                          Treasury Department
                          Washington, D.C.

                          Federal Deposit Insurance Corporation
                          Washington, D.C.

                          The Board of Governors of the Federal Reserve System
                          Washington, D.C.

                 (b)      Whether it is authorized to exercise corporate trust
                          powers.

                          The trustee is authorized to exercise corporate trust
                          powers.

Item 2.  Affiliations with Obligor.  If the obligor is an affiliate of the
trustee, describe each such affiliation.

                 None with respect to the trustee.

No responses are included for Items 3-14 of this Form T-1 because the obligor
is not in default as provided under Item 13.

Item 15.  Foreign Trustee.        Not applicable.

Item 16.  List of Exhibits.       List below all exhibits filed as a part of
                                  this Statement of Eligibility.  Norwest Bank
                                  incorporates by reference into this Form T-1
                                  the exhibits attached hereto.

         Exhibit 1.       a.      A copy of the Articles of Association of the
                                  trustee now in effect.*

         Exhibit 2.       a.      A copy of the certificate of authority of the
                                  trustee to commence business issued June 28,
                                  1872, by the Comptroller of the Currency to
                                  The Northwestern National Bank of
                                  Minneapolis.*

                          b.      A copy of the certificate of the Comptroller
                                  of the Currency dated January 2, 1934,
                                  approving the consolidation of The
                                  Northwestern National Bank of Minneapolis and
                                  The Minnesota Loan and Trust Company of
                                  Minneapolis, with the surviving entity being
                                  titled Northwestern National Bank and Trust
                                  Company of Minneapolis.*

                          c.      A copy of the certificate of the Acting
                                  Comptroller of the Currency dated January 12,
                                  1943, as to change of corporate title of
                                  Northwestern National Bank and Trust Company
                                  of Minneapolis to Northwestern National Bank
                                  of Minneapolis.*
<PAGE>   3
                          d.      A copy of the letter dated May 12, 1983 from
                                  the Regional Counsel, Comptroller of the
                                  Currency, acknowledging receipt of notice of
                                  name change effective May 1, 1983 from
                                  Northwestern National Bank of Minneapolis to
                                  Norwest Bank Minneapolis, National
                                  Association.*

                          e.      A copy of the letter dated January 4, 1988
                                  from the Administrator of National Banks for
                                  the Comptroller of the Currency certifying
                                  approval of consolidation and merger
                                  effective January 1, 1988 of Norwest Bank
                                  Minneapolis, National Association with
                                  various other banks under the title of
                                  "Norwest Bank Minnesota, National
                                  Association."*

         Exhibit 3.       A copy of the authorization of the trustee to
                          exercise corporate trust powers issued January
                          2, 1934, by the Federal Reserve Board.*

         Exhibit 4.       Copy of By-laws of the trustee as now in effect.*

         Exhibit 5.       Not applicable.

         Exhibit 6.       The consent of the trustee required by Section 321(b)
                          of the Act.

         Exhibit 7.       A copy of the latest report of condition of the
                          trustee published pursuant to law or the requirements
                          of its supervising or examining authority.**

         Exhibit 8.       Not applicable.

         Exhibit 9.       Not applicable.





         *       Incorporated by reference to exhibit number 25 filed with
                 registration statement number 33- 66026.



         **      Incorporated by reference to exhibit number 25 filed with
                 registration statement number 333- 47427.
<PAGE>   4





                                   SIGNATURE


Pursuant to the requirements of the Trust Indenture Act of 1939, as amended,
the trustee, Norwest Bank Minnesota, National Association, a national banking
association organized and existing under the laws of the United States of
America, has duly caused this statement of eligibility to be signed on its
behalf by the undersigned, thereunto duly authorized, all in the City of
Minneapolis and State of Minnesota on the 5th day of May 1998.





                                        NORWEST BANK MINNESOTA,
                                        NATIONAL ASSOCIATION

                                       /s/ CURTIS D. SCHWEGMAN  
                                       --------------------------
                                        Curtis D. Schwegman
                                        Assistant Vice President
<PAGE>   5





                                   EXHIBIT 6




May 5, 1998



Securities and Exchange Commission
Washington, D.C.  20549

Gentlemen:

In accordance with Section 321(b) of the Trust Indenture Act of 1939, as
amended, the undersigned hereby consents that reports of examination of the
undersigned made by Federal, State, Territorial, or District authorities
authorized to make such examination may be furnished by such authorities to the
Securities and Exchange Commission upon its request therefor.





                                   Very truly yours,

                                   NORWEST BANK MINNESOTA,
                                   NATIONAL ASSOCIATION

                                   /s/ CURTIS D. SCHWEGMAN
                                   --------------------------
                                   Curtis D. Schwegman
                                   Assistant Vice President