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Title: Rational Points on Modular Curves
Keywords: Modular curve
Modular form
Elliptic curve
Issue Date: 17-Jun-2014
Abstract: I explain a way to compute Fourier coefficients of modular forms associated to normalizer of non-split Cartan subgroups of GL(2,Z/pZ) and how, using these coefficients, one can compute explicit equations of modular curves associated to same subgroup. I attached some tables containing some examples of results of this method.
Research interests: Number Theory, Arithmetic Geometry, Algebraic Number Theory, Modular Curves, Modular Forms, Elliptic Curves.

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