Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields
| Dec 10, 2014
About this article
Published Online: Dec 10, 2014
Page range: 215 - 219
Received: Sep 01, 2013
Accepted: Dec 01, 2013
DOI: https://doi.org/10.2478/auom-2014-0017
Keywords
© 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.