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is your question whether you can take advantage of the capital losses on YOUR tax return as a benefit of your role in the trust, that is actually a legal question as the trust agreement defines who enjoys benefits

On what basis do you believe the Trust Agreement gives you that benefit? This community board has no visibility into what the trust agreement states

Remember, and a lawyer would tell you this, as the fiduciary, you have a fiduciary obligation to execute the trust as written and under the laws of the state where the trust is administered. Failure to do so , leaves you personally liable; I would not take these responsibilities lightly

Otherwise those loss carry forwards should end up on line 11 of the K-1 with a code B for short term loss carry forwards and a code C for long terms’