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.
Double covers of Cartan modular curves / Dose, V.; Mercuri, P.; Stirpe, C.. - In: JOURNAL OF NUMBER THEORY. - ISSN 0022-314X. - 195:(2019), pp. 96-114. [10.1016/j.jnt.2018.05.021]
Double covers of Cartan modular curves
Dose V.;Mercuri P.;Stirpe C.
2019
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.File allegati a questo prodotto
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