Torsion groups of elliptic curves that appear infinitely often over septic fields
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909000435499008 |
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| author | Najman, Filip |
| author_facet | Najman, Filip |
| contents | In this short note we determine the set $Φ^\infty(7)$ of Abelian groups that appear as torsion groups of infinitely many elliptic curves (up to $\overline \mathbb Q$-isomorphism) over number fields of degree 7. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03513 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Torsion groups of elliptic curves that appear infinitely often over septic fields Najman, Filip Number Theory In this short note we determine the set $Φ^\infty(7)$ of Abelian groups that appear as torsion groups of infinitely many elliptic curves (up to $\overline \mathbb Q$-isomorphism) over number fields of degree 7. |
| title | Torsion groups of elliptic curves that appear infinitely often over septic fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2602.03513 |