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

                                    FORM 4

                           STATEMENT OF CHANGES IN
                             BENEFICIAL OWNERSHIP

              Filed pursuant to Section 16(a) of the Securities
          Exchange Act of 1934, Section 17(a) of the Public Utility
               Holding Company Act of 1935 or Section 30(h)
                  of the Investment Company Act of 1940

1.     Name and Address of Reporting Persons

       J.R. Simplot/J.R. Simplot Self Declaration of Revocable Trust
       999 Main Street, Suite 1300
       Boise, ID  83702

2.     Issuer Name and Ticker or Trading Symbol

       Remington Oil and Gas Corporation (REM)

3.     I.R.S. Identification Number of Reporting Person, if an entity
       (Voluntary)

       518-34-0145

4.     Statement for Month/Day/Year

       April 15, 2003

5.     If Amendment, Date of Original (Month/Day/Year)



6.     Relationship of Reporting Person(s) to Issuer
       (Check All Applicable)

       [___]   Director
       [ X ]  10% Owner


FORM 4, P. 1 OF 5



       [___]  Officer (give title below)
       [___]  Other (specify below)

7.     Individual or Joint/Group Filing (Check Applicable Line)

       [___]  Form filed by One Reporting Person
       [ X ]  Form filed by More than One Reporting Person


                TABLE I - NON-DERIVATIVE SECURITIES ACQUIRED,
                     DISPOSED OF, OR BENEFICIALLY OWNED

1.     Title of Security (Instr. 3)

       Common Stock

2.     Transaction Date (Month/Day/Year)



2A.    Deemed Execution Date, if any (Month/Day/Year)

3.     Transaction Code (Instr. 8)

       CODE


4.     Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5)

           AMOUNT          (A) OR (D)          PRICE


5.     Amount of Securities Beneficially Owned following Reporting
Transaction(s) (Instr. 3 and 4)

        5,477,928; See "Explanation of Responses"

6.     Ownership Form:  Direct (D) or Indirect (I) (Instr. 4)

            I:  See Table I, Item 7

7.     Nature of Indirect Beneficial Ownership (Instr. 4)

2,785,028 shares are directly owned by JRS Properties III L.P.
("JRS Properties III").  The J.R. Simplot Self Declaration of Revocable
Trust (the "Trust"), of which Mr. Simplot is the beneficiary and trustee,
controls JRS Properties III.  The Trust and a trust for the benefit of
Mr. Simplot's spouse ("Mrs. Simplot's Trust"), which exercises no

FORM 4, P. 2 OF 5


investment control, hold approximately 79.6% of the beneficial interest
in the shares owned by JRS Properties III.

2,692,900 shares are directly owned by JRS Properties L.P. ("JRS
Properties").  (Of these shares, 550,000 shares are subject to
a previously reported variable share forward sale contract, and up
to 400,000 shares are subject to the variable share forward sale
contract referenced in Table II and "Explanation of Responses.") The
Trust controls JRS Properties.  The Trust and Mrs. Simplot's Trust
hold approximately 98.7% of the beneficial interest in the shares
owned by JRS Properties.


                  TABLE II - DERIVATIVE SECURITIES ACQUIRED,
                      DISPOSED OF, OR BENEFICIALLY OWNED
         (e.g. puts, calls, warrants, options, convertible securities)

1.     Title of Derivative Security (Instr. 3)

        Variable share forward sale of Common Stock


2.     Conversion or Exercise Price of Derivative Security

        See "Explanation of Responses"

3.     Transaction Date (Month/Day/Year)

       April 15, 2003

3A.    Deemed Execution Date, if any (Month/Day/Year)

4.     Transaction Code (Instr. 8)

            CODE            V
              J

5.     Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)

            (A)               (D)
            See "Explanation of Responses"
FORM 4, P. 3 of 5


6.     Date Exercisable and Expiration Date (Month/Day/Year)

            Date Exercisable          Expiration Date

            See "Explanation of Responses"


7.    Title and Amount of Underlying Securities (Instr. 3 and 4)

      Title           Amount of Number of Shares

      Common Stock   Up to 400,000 shares -
                     See "Explanation of Responses"

8.     Price of Derivative Security (Instr. 5)

       See "Explanation of Responses"

9.     Number of Derivative Securities Beneficially Owned following
       Reported
       Transaction(s) (Instr. 4)

       See Table I, Item 7

10.    Ownership Form of Derivative Security: Direct (D) or
Indirect (I) (Instr. 4)

       See Table I, Item 7

11.    Nature of Indirect Beneficial Ownership (Instr. 4)

       See Table I, Item 7

Explanation of Responses:
JRS Properties entered into a deferred sale transaction in the
form of a variable share forward sale contract ("Contract") with
Bank of America, N.A. on April 4, 2003, pursuant to which JRS
Properties is entitled to receive a notional amount of cash against
the future delivery of up to 400,000 shares (collectively, the
"Shares") of Remington's Common Stock.  The Initial Share Price
will be determined at the end of the Pricing Period and will equal
the net volume weighted average price per share at which Bank of
America hedges its risk in the market by selling 400,000 shares
of Remington's Common Stock.  Bank of America commenced to hedge
transactions on April 15, 2003.

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Pursuant to the Contract, at the expiration date (54 months from the
date at which the Initial Share Price is determined in accordance
with the Contract), JRS Properties must deliver the Shares, or a
lesser number of Shares which shall be determined based on the share
price on the Expiration Date, to Bank of America.

                                    Reporting Persons:

Dated:   April 17, 2003

                                 /s/ J.R. Simplot
                                 --------------------------------
                                 J.R. Simplot

                                 By:  /s/ Ronald N. Graves
                                 --------------------------------
                                 Ronald N. Graves, as Attorney-in-Fact


                                 J.R. Simplot Self Declaration
                                 of Revocable Trust
Dated:   April 17, 2003
                                 By:  /s/ J.R. Simplot
                                 --------------------------------
                                 J.R. Simplot, as Trustee

                                 By:  /s/ Ronald N. Graves
                                 --------------------------------
                                 Ronald N. Graves, as Attorney-in-Fact

FORM 4, P. 5 of 5