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arXiv:1107.2776 [math.NT]AbstractReferencesReviewsResources

Integral points of a modular curve of level 11

René Schoof, Nikos Tzanakis

Published 2011-07-14Version 1

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.

Comments: 10 pages. To be published in Acta Arithmetica
Categories: math.NT
Subjects: 11F03, 11G05, 11J86, 11R29
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