Torsion growth over cubic fields of rational elliptic curves with complex multiplication
This article is a contribution to the project of classifying the torsion growth of elliptic curves upon base-change. In this article, we treat the case of elliptic curves defined over the rationals with complex multiplication. For this particular case, we give a description of the possible torsion g...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/710732 |
| Acceso en línea: | http://hdl.handle.net/10486/710732 https://dx.doi.org/10.5486/PMD.2020.8697 |
| Access Level: | acceso abierto |
| Palabra clave: | Complex multiplication Cubic fields Elliptic curves Rationals Torsion subgroup Matemáticas |
| Sumario: | This article is a contribution to the project of classifying the torsion growth of elliptic curves upon base-change. In this article, we treat the case of elliptic curves defined over the rationals with complex multiplication. For this particular case, we give a description of the possible torsion growth over cubic fields, and a completely explicit description of this growth in terms of some invariants attached to a given elliptic curve |
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