You actually enter any estimated tax payments, including payments made with extension, into your federal tax return. Those payments are then transferred into your state return(s). The TurboTax FAQ info below will instruct you on entering those payments into your federal tax return.
https://ttlc.intuit.com/replies/3300049
*** I am NOT a tax expert. I am a seasoned TurboTax user, and volunteer to provide assistance to TT users. Nothing I post is to be considered TAX ADVICE; I bear no legal liability for responses.***
