Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields
| 10. Dez. 2014
Über diesen Artikel
Online veröffentlicht: 10. Dez. 2014
Seitenbereich: 215 - 219
Eingereicht: 01. Sept. 2013
Akzeptiert: 01. Dez. 2013
DOI: https://doi.org/10.2478/auom-2014-0017
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© 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.