Hatcher-Topology-of-Numbers · Problem 7.5.2

Quadratic Fields

Mathematics — Algebraic Topology · genus-class-group

Problem

For discriminant

\Delta = -260

the equivalence classes of forms were worked out in Section 5.2. Show that

CG(\Delta)

C_4 \times C_2

, partition the forms into genera, and determine the order of each element of

CG(\Delta)

. Which elements are squares of other elements?