Do I keep self-employment income on my return even if I didn’t have any income and no expenses to report?

Yes, you would still have that business listed on your 2024 Tax Return (Schedule C) if the business was still active anytime in 2024. 

For the business profile, select "I sold (or disposed of) my business in 2024" if you officially left in Spring 2024. 

(Find that by going to 

the Business tab

Business Income and Expenses

EDIT for that business

Business Profile

Scroll down and select EDIT next to Disposed of Business in Current Year

You can still enter any final business expenses you had in 2024 even if you had no business income.

If you had none, simply make the selection that it was disposed and be done with it.