Class groups of quadratic fields. II

Buell, Duncan A.

doi:10.1090/S0025-5718-1987-0866100-9

Class groups of quadratic fields. II
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Math. Comp. 48 (1987), 85-93 Request permission

Abstract:

A computation has been made of the noncyclic class groups of imaginary quadratic fields $Q(\sqrt { - D} )$ for even and odd discriminants $- D$ from 0 to $- 25000000$. Among the results are that 95% of the class groups are cyclic, and that $- 11203620$ and $- 18397407$ are the first discriminants of imaginary quadratic fields for which the class group has rank three in the 5-Sylow subgroup. The latter was known to be of rank three; this computation demonstrates that it is the first odd discriminant of 5-rank three or more.

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