I've been trying to get the hang of understanding how primes interact with Quadratic fields and then the respective norms. (You can see because over the past month I've had about 6 threads about it).
Anyways, I wanted to examine three Quadratic Fields: Q[Sqrt(-1)], Q[Sqrt(-3)], and Q[Sqrt(-5)].
Can someone identify the primes in each that have a norm less than 6? Once they have been found, how do we determine if they are "associates" of each other?
Thank you! I really appreciate the help!