English

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

Number Theory 2012-06-26 v2

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.

Keywords

Cite

@article{arxiv.1201.4132,
  title  = {Modular forms and elliptic curves over the cubic field of discriminant -23},
  author = {Paul E. Gunnells and Dan Yasaki},
  journal= {arXiv preprint arXiv:1201.4132},
  year   = {2012}
}

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