Topology of Numbers · Problem 5.2.1

Classification of Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · elliptic-forms-discriminant

Problem

(a) For positive elliptic forms of discriminant

\Delta = -D

, verify that the smallest value of

D

for which there are at least two inequivalent forms of discriminant

-D

D = 12

. (b) If we add the requirement that all forms under consideration are primitive, then what is the smallest

D