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Galois representations of octahedral type and 2-coverings of elliptic curves - MaRDI portal

Galois representations of octahedral type and 2-coverings of elliptic curves (Q1812965)

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scientific article; zbMATH DE number 1116
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English
Galois representations of octahedral type and 2-coverings of elliptic curves
scientific article; zbMATH DE number 1116

    Statements

    Galois representations of octahedral type and 2-coverings of elliptic curves (English)
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    25 June 1992
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    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.
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    construction of cusp forms of weight 1 and type \(S_ 4\)
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    algorithm due to Birch and Swinnerton-Dyer
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    Galois representations
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    octahedral type
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    2- coverings of elliptic curves
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    Artin L-series
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