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Wrong.  Accirding to the Form 6781 instruction - 

The amount you can carry back to any prior year is limited to the smaller of:

• The gain, if any, that you would report on line 16 of Schedule D (Form 1040) for that carryback year if only gains and losses from section 1256 contracts were taken into account;

OR

• The gain, if any, reported on line 16 of Schedule D (Form 1040) for that carryback year.

 

So if the carryback year line 16 of Schedule D is positive, you can.