Eliptic Curve Cryptography Question

Question

What happens if the the next point generated in and ECC system is not an integer by integer coordinate? I'm new to ECC, so this is probably a dumb question, but any explanation would be appreciated.

Answer 1

Elliptic-curve cryptography is over finite fields, not over integers. Because $E(\mathbb{F}_q)$ is a group, for an elliptic curve $E$, we need not worry about this.