Class groups of the quadratic fields found by F. Diaz y Diaz

Author:
Daniel Shanks

Journal:
Math. Comp. **30** (1976), 173-178

MSC:
Primary 12A25; Secondary 12A50

DOI:
https://doi.org/10.1090/S0025-5718-1976-0399039-9

Corrigendum:
Math. Comp. **30** (1976), 900.

Corrigendum:
Math. Comp. **30** (1976), 900.

MathSciNet review:
0399039

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Abstract | References | Similar Articles | Additional Information

Abstract: F. Diaz y Diaz has discovered 99 discriminants *d* between and inclusive for which have a 3-rank . These 99 imaginary quadratic fields are analyzed here and the class groups are given and discussed for all those of special interest. In 98 cases, the associated real quadratic fields have , but for has a class group ; and this is now the smallest known *d* for which a real quadratic field has .

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DOI:
https://doi.org/10.1090/S0025-5718-1976-0399039-9

Article copyright:
© Copyright 1976
American Mathematical Society