<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

Publié en ligne: 10 déc. 2014

Pages: 215 - 219

Reçu: 01 sept. 2013

Accepté: 01 déc. 2013

DOI: https://doi.org/10.2478/auom-2014-0017

Mots clés
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

Publié en ligne: 10 déc. 2014

Pages: 215 - 219

Reçu: 01 sept. 2013

Accepté: 01 déc. 2013

DOI: https://doi.org/10.2478/auom-2014-0017

Mots cléselliptic curves, rank records, quadratic fields

© 2014 Filip Najman

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

Mots clés
elliptic curves, rank records, quadratic fields