Question about the history of the old jewish states, specifically their capitals.

During the period where the unified jewish kingdom was divided into Judah and Isreal, what was the capital of isreal? Thank you.

Followup question i hadnt considered when posting this: Also, why isnt the modern jewish state called Judah instead of isreal? Looking back at the history Judah had the davidian line and isreal basically kind of sucked, had a divided leadership and quickly got their asses kicked by Assyrians. You’d think if you’re harkening back to a proud history and linage judah would be the one to go with, but of course i dont know what im talking about (im not even jewish, just a history lover)