<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields

Department of Mathematics, University of Zagreb, Bijeni$cKka cesta 30, 10000 Zagreb, Croatia.

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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...

Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields

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

Palabras clave
elliptic curves, rank records, quadratic fields

© 2014 Filip Najman

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields

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

Palabras claveelliptic curves, rank records, quadratic fields

© 2014 Filip Najman

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Palabras clave
elliptic curves, rank records, quadratic fields