<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

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
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

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 chiaveelliptic curves, rank records, quadratic fields

© 2014 Filip Najman

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

Parole chiave
elliptic curves, rank records, quadratic fields