On the torsion of rational elliptic curves over sextic fields
Given an elliptic curve E/Q with torsion subgroup G = E(Q)tors we study what groups (up to isomorphism) can occur as the torsion subgroupof E base-extended to K, a degree 6 extension of Q. We also determine which groups H = E(K)tors can occur infinitely often and which ones occur for only finitely m...
| Autores: | , |
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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:10486/710767 |
| Acceso en línea: | http://hdl.handle.net/10486/710767 https://dx.doi.org/10.1090/mcom/3440 |
| Access Level: | acceso abierto |
| Palabra clave: | Galois representations Elliptic curve P-Adic L-function Matemáticas |
| Sumario: | Given an elliptic curve E/Q with torsion subgroup G = E(Q)tors we study what groups (up to isomorphism) can occur as the torsion subgroupof E base-extended to K, a degree 6 extension of Q. We also determine which groups H = E(K)tors can occur infinitely often and which ones occur for only finitely many curves. This article is a first step towards a complete classification of torsion growth over sextic fields |
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