Computing a lower bound for the canonical height on elliptic curves over number fields

DOI10.1090/S0025-5718-10-02352-5zbMath1231.11063MaRDI QIDQ3160749

Thotsaphon Thongjunthug

Publication date: 8 October 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesnumber fieldslower boundcanonical height

Mathematics Subject Classification ID

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

Related Items (1)

Lower bounds of the canonical height on quadratic twists of elliptic curves

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
• The Difference Between the Weil Height and the Canonical Height on Elliptic Curves
• Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields
• Computing Heights on Elliptic Curves
• Algorithmic Number Theory

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