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Torsion of rational elliptic curves over quartic Galois number fields

Published 3 Nov 2015 in math.NT | (1511.01126v1)

Abstract: Let $E$ be an elliptic curve defined over $\mathbb{Q}$, and let $K$ be a number field of degree four that is Galois over $\mathbb{Q}$. The goal of this article is to classify the different isomorphism types of $E(K)_{\text{tors}}$.

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