We show that the modular functions j 1,N generate function fields of the modular curve X 1(N), N ∈ {7; 8; 9; 10; 12}, and apply them to construct ray class fields over imaginary quadratic fields.
@article{bwmeta1.element.doi-10_2478_s11533-011-0080-5,
author = {Chang Kim and Ja Koo},
title = {Generation of Hauptmoduln of $\Gamma$1(N) by Weierstrass units and application to class fields},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {1389-1402},
zbl = {1252.11039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0080-5}
}
Chang Kim; Ja Koo. Generation of Hauptmoduln of Γ1(N) by Weierstrass units and application to class fields. Open Mathematics, Tome 9 (2011) pp. 1389-1402. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0080-5/
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