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Quadratic Fields with Special Class Groups
1992
Mathematics of Computation
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For every prime number p > 5 it is shown that, under certain hypotheses on x e Q , the imaginary quadratic fields Q( \/x2p -6xf + 1 ) have ideal class groups with noncyclic p-parts. Several numerical examples with p = 5 and 7 are presented. These include the field Q(v/-4805446123032518648268510536).
doi:10.2307/2153080
fatcat:7wq3eka3k5bshnqoqcagluya54