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Galois representations of octahedral type and 2-coverings of elliptic curves. (English) Zbl 0712.11035

We describe all Galois representations of \({\mathbb{Q}}\) of octahedral type and index two with odd determinant by means of the theory of 2-coverings of elliptic curves and we given an algorithm which computes its Artin L- series.
Reviewer: P.Bayer

MSC:

11G05 Elliptic curves over global fields
11F70 Representation-theoretic methods; automorphic representations over local and global fields
11G40 \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture
14H30 Coverings of curves, fundamental group
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References:

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