Is CA-541 Necessary for my situation?

My mom passed away early October 2024. My brother and I inherited her home (50/50 via trust) and then sold/closed on the house about 2 weeks after her death in October 2024. I am the trustee of her trust, and I completed form 1041 to realize a capital loss for the eligible selling costs for her home. 

 

I produced 2 K-1s to split the capital loss 50/50 with my brother.

 

The trust had no income and I closed out the trust by distributing all the assets in December of 2024.

 

My question is: Do I need to file CA-541 or can I skip it since the trust had no income?