Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields
| 10 déc. 2014
À propos de cet article
Publié en ligne: 10 déc. 2014
Pages: 215 - 219
Reçu: 01 sept. 2013
Accepté: 01 déc. 2013
DOI: https://doi.org/10.2478/auom-2014-0017
Mots clés
© 2014 Filip Najman
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In this paper we construct elliptic curves over quadratic fields with prescribed torsion group and record rank. We do this using theoretical arguments and keeping lengthy computations to a minimum.