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

Published 19 Jan 2012 in math.NT | (1201.4132v2)

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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