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Why is the class number of ( 11 3 ) even?

F. Lemmermeyer (2013)

Mathematica Bohemica

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.

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