Modular forms and elliptic curves over the cubic field of discriminant -23

Paul E. Gunnells; Dan Yasaki

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arXiv · 1201.4132

Modular forms and elliptic curves over the cubic field of discriminant -23

Paul E. Gunnells·Dan Yasaki

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Abstract

Let F be the cubic field of discriminant -23 and let O 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.

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Paul E. Gunnells, Dan Yasaki. 2012-06-25. Modular forms and elliptic curves over the cubic field of discriminant -23. https://arxiv.org/abs/1201.4132

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