Mathematical Research Letters
Volume 11 (2004)
Jacobi Thetanullwerte, periods of elliptic curves and minimal equations
Pages: 115 – 123
We introduce a family of modular functions which provide the coefficients of algebraic Weierstrass equations for complex toruses corresponding to elliptic curves defined over a number field. The equations built with these new modular functions have good arithmetical properties, since they are minimal global equations outside 2 and 3.