Topology of Numbers · Problem 8.3.10

Quadratic Fields — Allen Hatcher

Mathematics — Number Theory · quadratic-fields-ideals-lattices

Problem

Find the four ideals in

\mathbb{Z}[\sqrt{-14}]

of norm

15

and show that only two are principal ideals, giving explicit generators for these two. (The relevant topographs are shown in Section 6.1.)