Modular units and the surjectivity of a Galois representation
نویسندگان
چکیده
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Given an odd prime p and a representation % of the absolute Galois group of a number field k onto PGL2(Fp) with cyclotomic determinant, the moduli space of elliptic curves defined over k with p-torsion giving rise to % consists of two twists of the modular curve X(p). We make here explicit the only genus-zero cases p = 3 and p = 5, which are also the only symmetric cases: PGL2(Fp) ' Sn for n = ...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2004
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.03.005