We present a strategy to obtain explicit equations for the modular double covers associated respectively to both a split and a non-split Cartan subgroup of GL2(Fp) with p prime. Then we apply it successfully to the level 13 case.
Dose, V., Mercuri, P., Stirpe, C. (2019). Double covers of Cartan modular curves. JOURNAL OF NUMBER THEORY, 195, 96-114 [10.1016/j.jnt.2018.05.021].
Double covers of Cartan modular curves
Mercuri P.;
2019-02-01
Abstract
We present a strategy to obtain explicit equations for the modular double covers associated respectively to both a split and a non-split Cartan subgroup of GL2(Fp) with p prime. Then we apply it successfully to the level 13 case.
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