Integral points of a modular curve of level 11

Mathematics – Number Theory

Scientific paper

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10 pages. To be published in Acta Arithmetica

Scientific paper

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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