On fields of definition of torsion points of elliptic curves with complex multiplication
For any elliptic curve E defined over the rationals with complex multiplication (CM) and for every prime p, we describe the image of the mod p Galois representation attached to E. We deduce information about the field of definition of torsion points of these curves; in particular, we classify all ca...
| 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:10486/711200 |
| Acceso en línea: | http://hdl.handle.net/10486/711200 https://dx.doi.org/10.1090/S0002-9939-2010-10621-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Torsion Elliptic Curves Galois Representation Matemáticas |
| Sumario: | For any elliptic curve E defined over the rationals with complex multiplication (CM) and for every prime p, we describe the image of the mod p Galois representation attached to E. We deduce information about the field of definition of torsion points of these curves; in particular, we classify all cases where there are torsion points over Galois number fields not containing the field of definition of the CM |
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