Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields
| 10 gru 2014
O artykule
Data publikacji: 10 gru 2014
Zakres stron: 215 - 219
Otrzymano: 01 wrz 2013
Przyjęty: 01 gru 2013
DOI: https://doi.org/10.2478/auom-2014-0017
Słowa kluczowe
© 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.