The Mordell--Weil bases for the elliptic curve of the form $y^2=x^3-m^2x+n^2$

2018/92/1-2 (4) — DOI: 10.5486/PMD.2018.7719 — pp. 79-99

The Mordell—Weil bases for the elliptic curve of the form $y^2=x^3-m^2x+n^2$

Authors: Yasutsugu Fujita and Tadahisa Nara

Abstract:

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Keywords: elliptic curve, canonical height, Mordell-Weil group, square-free

Mathematics Subject Classification: 11G05, 11D59, 11G50