An elliptic curve over Q(u) with torsion Z/4Z and rank 6
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914713526337536 |
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| author | Dujella, Andrej Peral, Juan Carlos |
| author_facet | Dujella, Andrej Peral, Juan Carlos |
| contents | In this note we present the main details of the construction of an elliptic curve over $\mathbb{Q}(u)$ with torsion $\mathbb{Z}/4\mathbb{Z}$ and rank 6. Previously only rank 5 examples for such curves were known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08206 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An elliptic curve over Q(u) with torsion Z/4Z and rank 6 Dujella, Andrej Peral, Juan Carlos Number Theory 11G05 In this note we present the main details of the construction of an elliptic curve over $\mathbb{Q}(u)$ with torsion $\mathbb{Z}/4\mathbb{Z}$ and rank 6. Previously only rank 5 examples for such curves were known. |
| title | An elliptic curve over Q(u) with torsion Z/4Z and rank 6 |
| topic | Number Theory 11G05 |
| url | https://arxiv.org/abs/2207.08206 |