Just got a new one, but they gave no keys to start it, just a little black thing. How do you start the car?

I would suggest calling the dealership that sold it to you, I was under the impression Corvette still used a traditional key.

All the new corvettes do not have keys. Just a button to open the door, which I dont even think you have to push. When you get close to the car it opens by remote on the FOB. Just push the button to start the engine.

what??? been there driven them... it had a key haha... theres no mechanical door hinges i know that theres a magnetic lock thing for the doors u just push the little button in the door handel but the ignition was a key... it could be equipped with a radio frequencey key i suppose i hope you figured it out because ur que was like a year ago haha