Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields
| 10 dic 2014
INFORMAZIONI SU QUESTO ARTICOLO
Pubblicato online: 10 dic 2014
Pagine: 215 - 219
Ricevuto: 01 set 2013
Accettato: 01 dic 2013
DOI: https://doi.org/10.2478/auom-2014-0017
Parole chiave
© 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.