Mathematical Research Letters

Volume 11 (2004)

Number 1

Jacobi Thetanullwerte, periods of elliptic curves and minimal equations

Pages: 115 – 123

DOI: http://dx.doi.org/10.4310/MRL.2004.v11.n1.a11

Author

Jordi Guàrdia (Escola Politècnica Superior)

Abstract

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.

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