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Torsion of elliptic curves with rational $j$-invariant over quartic number fields (2501.00400v1)
Published 31 Dec 2024 in math.NT and math.AG
Abstract: Let $E$ be an elliptic curve, defined over a quartic extension $K$ of $\mathbb{Q}$, with $j(E) \in \mathbb{Q}$. In this paper, we classify the possible torsion subgroup structures $E(K)_{\text{tors}}$.
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