Why is the Class Number of $\Q(\sqrt[3]{11})$ even?
Number Theory
2011-09-01 v1
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
Cite
@article{arxiv.1108.6069,
title = {Why is the Class Number of $\Q(\sqrt[3]{11})$ even?},
author = {Franz Lemmermeyer},
journal= {arXiv preprint arXiv:1108.6069},
year = {2011}
}