Topology of Numbers · Problem 7.1.1

The Class Group for Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · multiplication-of-forms-concordant

Problem

In discriminant

\Delta = -56

we have the forms

Q_2 = [2, 0, 7]

and

Q_3 = [3, 2, 5]

. Compute

Q_2 Q_3

and

Q_3^2

by finding suitable pairs of concordant forms.