Bianchi's elliptic quintic curves and several modular function fields of level ten
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911275809767424 |
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| author | Kaneko, Masanobu Kuwata, Masato |
| author_facet | Kaneko, Masanobu Kuwata, Masato |
| contents | We provide an explicit description of two torsion points on the classical Bianchi elliptic quintic curve in terms of Ramanujan's functions. As a byproduct, we describe generators and defining equations of several modular function fields of level 10 using those functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27395 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bianchi's elliptic quintic curves and several modular function fields of level ten Kaneko, Masanobu Kuwata, Masato Number Theory 11F03, 11F01 (Primary) 14H52, 11G30, 14H42, 11G05 (Secondary) We provide an explicit description of two torsion points on the classical Bianchi elliptic quintic curve in terms of Ramanujan's functions. As a byproduct, we describe generators and defining equations of several modular function fields of level 10 using those functions. |
| title | Bianchi's elliptic quintic curves and several modular function fields of level ten |
| topic | Number Theory 11F03, 11F01 (Primary) 14H52, 11G30, 14H42, 11G05 (Secondary) |
| url | https://arxiv.org/abs/2510.27395 |