"Modular Forms And Elliptic Curves Over The Cubic Field Of Discriminant

Selected Works of Paul Gunnells

Follow Contact

Unpublished Paper

Modular Forms And Elliptic Curves Over The Cubic Field Of Discriminant - 23

International Journal of Number Theory (2012)

Paul E. Gunnells, University of Massachusetts - Amherst
Dan Yasaki

Download

Abstract

Let F be the cubic field of discriminant –23 and let O Ϲ F be its ring of integers. By explicitly computing cohomology of congruence subgroups of 〖GL〗_2(O) , we computationally investigate modularity of elliptic curves over F.

Keywords

Automorphic forms,
cohomology of arithmetic groups,
Hecke operators,
elliptic curves

Disciplines

Mathematics and
Number Theory

Publication Date

November 6, 2012

Comments

Pre-published version downloaded from archive ArXiv.org. Published version located at http://www.worldscientific.com/doi/abs/10.1142/S1793042112501242.

Citation Information

Paul E. Gunnells and Dan Yasaki. "Modular Forms And Elliptic Curves Over The Cubic Field Of Discriminant - 23" International Journal of Number Theory (2012)
Available at: http://works.bepress.com/paul_gunnells/35/