Topology of Numbers · Problem 8.4.4

Quadratic Fields — Allen Hatcher

Mathematics — Number Theory · ideal-class-group

Problem

In Z[−5]\mathbb{Z}[\sqrt{-5}] compute Q2Q^2 for Q=(3,1+−5)Q = (3, 1 + \sqrt{-5}) as a principal ideal (α)(\alpha) after first determining what N(α)N(\alpha) must be.

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