How to file state tax if I need to amend federal tax?

Hi all,

 

Thank you for your help.

 

I filed my federal tax by mail, but haven't filed my state tax yet. But recently, I find I made a mistake, and I think I need to amend my federal tax.

 

For the federal tax, I know I could file a 1040X once IRS rejects or refunds me. But how about my state tax? Should I file it with all correct information and a correct 1040? Or I have to file the state tax with the same mistake and amend it later?

 

Besides, since I already knew that I need to amend my federal tax, can I do it right away?  Or I have to wait?

 

Thanks