Why is the Class Number of $\Q(\sqrt[3]{11})$ even?

Details Why is the Class Number of $\Q(\sqrt[3]{11})$ even? Why is the Class Number of $\Q(\sqrt[3]{11})$ even?

2011-08-30

arxiv.org/abs/1108.6069v1

Mathematics

Number Theory

Scientific paper

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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