Lang’s conjecture and sharp height estimates for the elliptic curves $y^{2}=x^{3}+b$

DOI10.4064/aa7761-2-2016zbMath1348.11045arXiv1305.6560OpenAlexW3103390227WikidataQ122901401 ScholiaQ122901401MaRDI QIDQ3178170

Minoru Yabuta, Paul M. Voutier

Publication date: 8 July 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6560

zbMATH Keywords

elliptic curvecanonical heightlogarithmic heightlang's conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Heights (11G50)

Related Items (1)

Generators and integral points on twists of the Fermat cubic

Cites Work

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• LANG'S CONJECTURE AND SHARP HEIGHT ESTIMATES FOR THE ELLIPTIC CURVES y² = x³ + ax
• Primitive Divisors on Twists of Fermat's Cubic
• Primitive divisors of certain elliptic divisibility sequences
• The Difference Between the Weil Height and the Canonical Height on Elliptic Curves
• Computing Heights on Elliptic Curves
• Generators and integral points on twists of the Fermat cubic

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