On rational points of the generic elliptic curve with level N structure over the field of modular functions of level N

DOI10.2969/jmsj/02510144zbMath0243.14009OpenAlexW2117112031MaRDI QIDQ2554373

Tetsuji Shioda

Publication date: 1973

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/02510144

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items

Formal groups attached to elliptic modular forms, Rational curves on the supersingular \(K3\) surface with Artin invariant 1 in characteristic 3, On the Mordell-Weil group of certain elliptic curve, Supersingular $K3$ surfaces, ELLIPTIC K3 SURFACES ASSOCIATED WITH THE PRODUCT OF TWO ELLIPTIC CURVES: MORDELL–WEIL LATTICES AND THEIR FIELDS OF DEFINITION, The Picard group of the universal abelian variety and the Franchetta conjecture for abelian varieties, The unirationality of certain elliptic surfaces in characteristic p