Topology of Numbers · Problem 7.5.3

Quadratic Fields — Allen Hatcher

Mathematics — Number Theory · genus-class-group

Problem

For discriminant Δ=−119=−7⋅17\Delta = -119 = -7 \cdot 17 show that CG(Δ)CG(\Delta) is cyclic, determine its order, and find forms giving all the elements. Then partition these elements according to their genus and determine the order of each element. (All this can be done without actually computing any products using concordant pairs of forms.)

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