LANG'S CONJECTURE AND SHARP HEIGHT ESTIMATES FOR THE ELLIPTIC CURVES y2 = x3 + ax

DOI10.1142/S1793042113500176zbMath1304.11048arXiv1104.4645WikidataQ123079316 ScholiaQ123079316MaRDI QIDQ2840294

Minoru Yabuta, Paul M. Voutier

Publication date: 17 July 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4645

zbMATH Keywords

elliptic curvecanonical heightLang conjecture

Mathematics Subject Classification ID

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

Related Items (3)

Lang’s conjecture and sharp height estimates for the elliptic curves $y^{2}=x^{3}+b$ ⋮ Prime power terms in elliptic divisibility sequences ⋮ Primitive divisors of elliptic divisibility sequences for elliptic curves with $j=1728$

Cites Work

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• Height difference bounds for elliptic curves over number fields
• The canonical height and integral points on elliptic curves
• Lower bound for the canonical height on elliptic curves
• Points of small height on elliptic curves
• Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\)
• Primitive divisors of elliptic divisibility sequences
• Primitive Divisors on Twists of Fermat's Cubic
• Primitive divisors of certain elliptic divisibility sequences

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