Completely decomposable modular Jacobians
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909716482883584 |
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| author | Paulhus, Jennifer Sutherland, Andrew V. |
| author_facet | Paulhus, Jennifer Sutherland, Andrew V. |
| contents | We use recently developed algorithms and a new database of modular curves constructed for the L-functions and Modular Forms Database to enumerate completely decomposable modular Jacobians of level N < 240. In particular, we find examples in 13 previously unknown genera of Jacobian varieties isogenous to a product of elliptic curves over Q. The new genera are: 38, 68, 75, 76, 77, 78, 113, 135, 137, 157, 159, 169, and 409. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16007 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Completely decomposable modular Jacobians Paulhus, Jennifer Sutherland, Andrew V. Number Theory 14G35 primary, 11G05, 11G18, 14Q05 secondary We use recently developed algorithms and a new database of modular curves constructed for the L-functions and Modular Forms Database to enumerate completely decomposable modular Jacobians of level N < 240. In particular, we find examples in 13 previously unknown genera of Jacobian varieties isogenous to a product of elliptic curves over Q. The new genera are: 38, 68, 75, 76, 77, 78, 113, 135, 137, 157, 159, 169, and 409. |
| title | Completely decomposable modular Jacobians |
| topic | Number Theory 14G35 primary, 11G05, 11G18, 14Q05 secondary |
| url | https://arxiv.org/abs/2502.16007 |