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arXiv:0801.4693 [math.NT]AbstractReferencesReviewsResources

A Modular Curve of Level 9 and the Class Number One Problem

Burcu Baran

Published 2008-01-30, updated 2009-02-18Version 2

In this note we give an explicit parametrization of the modular curve associated to the normalizer of a non-split Cartan subgroup of level 9. We determine all integral points of this modular curve. As an application, we give an alternative solution to the class number one problem.

Comments: 18 pages
Categories: math.NT
Subjects: 11G05, 11G15, 11R29
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