Archimedean local height differences on elliptic curves
Volume 190 / 2019
Acta Arithmetica 190 (2019), 293-303
MSC: Primary 11G50; Secondary 14G05, 11G05, 11G07.
DOI: 10.4064/aa180714-7-12
Published online: 5 July 2019
Abstract
To compute generators for the Mordell–Weil group of an elliptic curve over a number field, one needs to bound from above the difference between the naive and the canonical height. We give an elementary and fast method to compute an upper bound for the local contribution to this difference at an archimedean place, which typically gives better results than previously known algorithms.
