Do I need to file SC nonresident tax return if net income is $0

I had capital gains in SC from sale of a rental property, but also had carry over losses I could finally claim on the rental income.  Net total taxable SC income = $0, and I had no SC withholdings.  Do I need to file in SC just because I had the income activity, or can I skip filing because the gains and losses are a wash and there are no taxes due.

 

Thanks