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arXiv · 2501.00400

Torsion of elliptic curves with rational $j$-invariant over quartic number fields

Lucas Hamada
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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 group structure of the torsion subgroup $E(K)_{\text{tors}}$.

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Lucas Hamada. 2024-12-31. Torsion of elliptic curves with rational $j$-invariant over quartic number fields. https://arxiv.org/abs/2501.00400

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