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ANTS
2008
Springer

Computing Hilbert Modular Forms over Fields with Nontrivial Class Group

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Computing Hilbert Modular Forms over Fields with Nontrivial Class Group
In previous work, the first author developed an algorithm for the computation of Hilbert modular forms. In this paper, we extend this to all totally real number fields of even degree and nontrivial class group. Using the algorithm over Q( 10) and Q( 85) and their Hilbert class fields, we present some new instances of the conjectural Eichler-Shimura construction for totally real fields, and in particular find new examples of modular abelian varieties with everywhere good reduction.
Lassina Dembélé, Steve Donnelly
Added 12 Oct 2010
Updated 12 Oct 2010
Type Conference
Year 2008
Where ANTS
Authors Lassina Dembélé, Steve Donnelly
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