<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

Published Online: Dec 10, 2014

Page range: 215 - 219

Received: Sep 01, 2013

Accepted: Dec 01, 2013

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

Keywords
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

Published Online: Dec 10, 2014

Page range: 215 - 219

Received: Sep 01, 2013

Accepted: Dec 01, 2013

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

Keywordselliptic curves, rank records, quadratic fields

© 2014 Filip Najman

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

Keywords
elliptic curves, rank records, quadratic fields