Geodesic
Why is the class number of $\mathbb Q(\root 3\of {11})$ even?
Mathematica Bohemica, Tome 138 (2013) no. 2, pp. 149-163

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MR Zbl
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.
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.
DOI : 10.21136/MB.2013.143287
Classification : 11G05, 11R16, 11R29
Keywords: class number; pure cubic field; elliptic curve 
Lemmermeyer, F. Why is the class number of $\mathbb Q(\root 3\of {11})$ even?. Mathematica Bohemica, Tome 138 (2013) no. 2, pp. 149-163. doi: 10.21136/MB.2013.143287
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