Why is the Class Number of Q(sqrt[3]{11}) even?
classification
🧮 math.NT
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fieldsnumberclasscubicpurewillarticleattempting
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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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