The difference between the ordinary height and the canonical height on elliptic curves

DOI10.1016/j.jnt.2007.10.002zbMath1145.11050OpenAlexW2069029896MaRDI QIDQ2469219

Yukihiro Uchida

Publication date: 4 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.10.002

zbMATH Keywords

elliptic curvesheightscanonical heightheight bounds

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Heights (11G50) Elliptic curves over local fields (11G07)

Related Items (3)

On the difference between the ordinary height and the canonical height on elliptic curves. ⋮ Valuations of Somos 4 sequences and canonical local heights on elliptic curves ⋮ Archimedean local height differences on elliptic curves

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• Height difference bounds for elliptic curves over number fields
• On the difference between the ordinary height and the canonical height on elliptic curves.
• On the difference of the Weil height and the Neron-Tate height
• Elliptic curves. A computational approach. With an appendix by Attila Pethö
• Infinite descent on elliptic curves
• The Difference Between the Weil Height and the Canonical Height on Elliptic Curves
• Quasifunctions on elliptic curves over local fields.
• Correction and remarks concerning quasifunctions on elliptic curves.
• Computing the Degree of the Modular Parametrization of a Modular Elliptic Curve

This page was built for publication: The difference between the ordinary height and the canonical height on elliptic curves