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arxiv: 1107.2776 · v1 · pith:LXYBMSAHnew · submitted 2011-07-14 · 🧮 math.NT

Integral points of a modular curve of level 11

classification 🧮 math.NT
keywords curveintegrallevelmodularpointsapplicationassociatedbounds
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Using lower bounds for linear forms in elliptic logarithms we determine the integral points of the modular curve associated to the normalizer of a non-split Cartan group of level 11. As an application we obtain a new solution of the class number one problem for complex quadratic fields.

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