Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields

DOI10.1007/978-3-540-79456-1_9zbMath1230.11074OpenAlexW1816758170MaRDI QIDQ3502733

Thotsaphon Thongjunthug

Publication date: 27 May 2008

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-79456-1_9

zbMATH Keywords

elliptic curveslower boundcanonical heighttotally real number fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Number-theoretic algorithms; complexity (11Y16) Algebraic number theory computations (11Y40)

Related Items (2)

Computing a lower bound for the canonical height on elliptic curves over number fields ⋮ Fourth power Diophantine equations in Gaussian integers

Cites Work

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• Height difference bounds for elliptic curves over number fields
• The canonical height and integral points on elliptic curves
• Infinite descent on elliptic curves
• Computing Heights on Elliptic Curves
• Number Theory
• Algorithmic Number Theory

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