Algorithmic construction of Shimura - Taniyama - Weil parametrization of elliptic curves over the rationals

2016/02/08 by H. Gopalakrishna Gadiyar, Gadiyar, H. Gopalakrishna, R. Padma +1
Computer Science · Mathematics · #11B68 #11F03 #11S40 #14H52 #14L05 #33E05 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11F03 #msc:11S40 #msc:14H52 #msc:14L05 #msc:33E05

paper · pdf · doi:10.48550/arxiv.1602.02475

6 pages

arxiv created 2016/02/08 · openalex publication_date 2016/02/08 · arxiv updated 2016/02/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this note we give an algorithm to explicitly construct the modular parametrization of an elliptic curve over the rationals given the Weierstrass function \wp (z).

Citations

• Elliptic formal group laws, integral Hirzebruch genera and Krichever genera

Related

• Divisors of Modular Parametrizations of Elliptic Curves
• Explicit computation of the modular parametrization of elliptic curves over function fields by Drinfeld modular curves
• Algorithms for Modular Parametrizations of Elliptic Curves over ℚ
• Computing modular equations for Shimura curves
• Uniformization of modular elliptic curves via p-adic periods