Galois theory, discriminants and torsion subgroup of elliptic curves
We find a tight relationship between the torsion subgroup and the image of the mod 2 Galois representation associated to an elliptic curve defined over the rationals. This is shown using some characterizations for the squareness of the discriminant of the elliptic curve
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/711120 |
| Acceso en línea: | http://hdl.handle.net/10486/711120 https://dx.doi.org/10.1016/j.jpaa.2009.11.001 |
| Access Level: | acceso abierto |
| Palabra clave: | Galois Representations Elliptic Curve P-Adic L-Function Matemáticas |
| Sumario: | We find a tight relationship between the torsion subgroup and the image of the mod 2 Galois representation associated to an elliptic curve defined over the rationals. This is shown using some characterizations for the squareness of the discriminant of the elliptic curve |
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