Article
Torsion of rational elliptic curves over cubic fields
Author/s | González Jiménez, Enrique
Najman, Filip Tornero Sánchez, José María |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2016 |
Deposit Date | 2017-03-28 |
Published in |
|
Abstract | 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 ... 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. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2015-68524-P
FQM-218 info:eu-repo/grantAgreement/MINECO/MTM2013-46231-P P12-FQM-2696 |
Citation | González Jiménez, E., Najman, F. y Tornero Sánchez, J.M. (2016). Torsion of rational elliptic curves over cubic fields. Rocky Mountain Journal of Mathematics, 46 (6), 1899-1917. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Torsion of rational elliptic ... | 155.3Kb | [PDF] | View/ | |