Base change for Elliptic Curves over Real Quadratic Fields

arxiv: 1402.6232 · v3 · pith:OK7ZBAGEnew · submitted 2014-02-25 · 🧮 math.NT

Luis Dieulefait , Nuno Freitas This is my paper

classification 🧮 math.NT

keywords realellipticquadraticbasechangecurvecurvesextension

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Let E be an elliptic curve over a real quadratic field K and F/K a totally real finite Galois extension. We prove that E/F is modular.

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