Torsion of elliptic curves with rational $j$-invariant over quartic number fields
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916547019145216 |
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| author | Hamada, Lucas |
| author_facet | Hamada, Lucas |
| contents | 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 $E(K)_{\text{tors}}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Torsion of elliptic curves with rational $j$-invariant over quartic number fields Hamada, Lucas Number Theory Algebraic Geometry 11G05 (Primary) 12F05 (Secondary) 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 $E(K)_{\text{tors}}$. |
| title | Torsion of elliptic curves with rational $j$-invariant over quartic number fields |
| topic | Number Theory Algebraic Geometry 11G05 (Primary) 12F05 (Secondary) |
| url | https://arxiv.org/abs/2501.00400 |