I have two things I'd like to learn about:
1. I was noticing that the norms of +-1+-i (which are associates) are the same. The same goes for +-(1-2i). Is there a general reason explaining why any two integers which are associates have the same norm?
2. Assume that is a set of quadratic integers in so that and are associates. Can someone help describe what this set would be like when this occurs?
Thank you! - Samson