F. Lemmermeyer, Mörikeweg 1, 73489 Jagstzell, Germany, e-mail: hb3@ix.urz.uni-heidelberg.de
Abstract: In this article we will describe a surprising observation that occurred in the construction of quadratic unramified extensions of a family of pure cubic number fields. Attempting to find an explanation will lead us on a magical mystery tour through the land of pure cubic number fields, Hilbert class fields, and elliptic curves.
Keywords: class number, pure cubic field, elliptic curve
Classification (MSC 2010): 11R16, 11G05
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