Torsion of rational elliptic curves over cubic fields
Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a cubic number field. In particular, we study the number of cubic number fields K such that E(Q)tors ̸= E(K)tors.
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/56384 |
| Acceso en línea: | http://hdl.handle.net/11441/56384 https://doi.org/10.1216/RMJ-2016-46-6-1899 |
| Access Level: | acceso abierto |
| Palabra clave: | Elliptic curves Torsion subgroup Rationals Cubic fields |
| Sumario: | Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a cubic number field. In particular, we study the number of cubic number fields K such that E(Q)tors ̸= E(K)tors. |
|---|