Jacobi Thetanullwerte, periods of elliptic curves and minimal equations

Jordi Guàrdia
2004 Mathematical Research Letters  
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.
doi:10.4310/mrl.2004.v11.n1.a11 fatcat:q7wvagdq7va77de5kqqdihhr34