What do I need to file for a LLC in California if it made no income?

I formed an LLC in California with another person in 2020. I believe we are being taxed as a partnership. From what I understand, because our business made no money during that taxable year we do not have to file a federal tax return. However, we do have to file a state 568 form and pay the FTB fee of $800 using the voucher form. So here are my two questions.

 

Is there any other tax form that we have to fill out (This includes forms for my personal taxes which I am using Turbotax Premier for)?

 

Because we only need to fill out forms for our state, can we just purchase Turbotax Business for the state of California, or do we have to purchase Turbotax Business for Federal and add the state option to it?

 

Thanks in advance for any help.