dies

2010 2.4 liter runs great till I shut off the engine and need to start it before it cools down getting fuel runs super rough then dies it it cools off it will start and run good No check engine lights and no codes Please help I've heard ignition coil, tire pressure thingy, catalytic converter

Interesting day. Went to start my car, she turned over, but wouldn't start. My first reaction is somehow the battery needed a jump. Didn't leave any light on, or anything like that. Asked my father, he has an ear for these things. Didn't sound like a battery issue to him, he gave me the code...