Bielliptic quotient curves of X0(N)
Let N ≥ 1 be a non-square free integer and let WN be a nontrivial subgroup of the group of the Atkin-Lehner involutions of X0(N) such that the modular curve X0(N)=WN has genus at least two. We determine all pairs (N;WN) such that X0(N)=WN is a bielliptic curve and the pairs (N;WN) such that X0(N)=WN...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:270703 |
| Acceso en línea: | https://ddd.uab.cat/record/270703 https://dx.doi.org/urn:doi:10.1090/mcom/3800 |
| Access Level: | acceso abierto |
| Palabra clave: | Modular curve Atkin-Lehner involution Bielliptic curve Quadratic points |
| Sumario: | Let N ≥ 1 be a non-square free integer and let WN be a nontrivial subgroup of the group of the Atkin-Lehner involutions of X0(N) such that the modular curve X0(N)=WN has genus at least two. We determine all pairs (N;WN) such that X0(N)=WN is a bielliptic curve and the pairs (N;WN) such that X0(N)=WN has an innite number of quadratic points over Q. |
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