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arxiv: 1706.03988 · v2 · pith:OMCCFVIFnew · submitted 2017-06-13 · 🧮 math.NT

Double Covers of Cartan Modular Curves

classification 🧮 math.NT
keywords cartancoversdoublemodularapplyassociatedcasecurves
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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 $\text{GL}_2(\mathbb F_{p})$ with $p$ prime. Then we apply it successfully to the level $13$ case.

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