Class fields generated by coordinates of elliptic curves

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Let K be an imaginary quadratic field different from Q (root-1 ) and Q (root-3). For a nontrivial integral ideal m of K, let K-m be the ray class field modulo m. By using some inequalities on special values of modular functions, we show that a single x-coordinate of a certain elliptic curve generates K-m over K.
Publisher
DE GRUYTER POLAND SP Z O O
Issue Date
2022-10
Language
English
Article Type
Article
Citation

OPEN MATHEMATICS, v.20, no.1, pp.1145 - 1158

ISSN
2391-5455
DOI
10.1515/math-2022-0502
URI
http://hdl.handle.net/10203/299092
Appears in Collection
MA-Journal Papers(저널논문)
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