Form NYC-1127 is not part of your New York State tax return. It's a separate return that has to be either mailed to a different address or filed online on the New York City e-Services web site. You cannot e-file Form NYC-1127 with TurboTax.
It's not clear exactly what you did. Did you e-file your New York State tax return or did you file it by mail? If you e-filed, Form NYC-1127 was not included. So if you e-filed you do not have to do anything. The Form NYC-1127 that you filled out in TurboTax has not been filed.
If you mailed your New York State tax return with Form NYC-1127 included, I don't know what the state will do with it. They might just ignore it, or, less likely, they might send it to the New York City Department of Finance. You will just have to wait to see what happens. If you don't hear anything from the NYC Department of Finance, then you can just forget about the NYC-1127.
In any case, you do not have to amend your New York State tax return, because the NYC-1127 is not part of that tax return.
