2010/07/14 by Ja Kyung Koo, Koo, Ja Kyung, Dong Hwa Shin +1
Mathematics · #11F11 #11G15 #11R37 #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F11 #msc:11G15 #msc:11R37
paper · pdf · doi:10.48550/arxiv.1007.2306
We changed its title and shortened its contents
openalex publication_date 2010/07/14 · arxiv created 2013/03/06 · arxiv updated 2013/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By a change of variables we obtain new y-coordinates of elliptic curves. Utilizing these y-coordinates as modular functions, together with the elliptic modular function, we generate the modular function fields of level N≥3. Furthermore, by means of the singular values of the y-coordinates we construct the ray class fields modulo N over imaginary quadratic fields as well as normal bases of these ray class fields.