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.
Schoof, R.j., Tzanakis, N. (2012). Integral points of a modular curve of level 11. ACTA ARITHMETICA, 152, 39-49 [DOI: 10.4064/aa152-1-4].
Integral points of a modular curve of level 11
SCHOOF, RENATUS JOHANNES;
2012-01-01
Abstract
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.File in questo prodotto:
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