Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields
| 10 dic 2014
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Publicado en línea: 10 dic 2014
Páginas: 215 - 219
Recibido: 01 sept 2013
Aceptado: 01 dic 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.