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

Authors:
Thotsaphon Thongjunthug
Affiliations:
Mathematics Institute, University of Warwick, Coventry, UK
Venue:
ANTS-VIII'08 Proceedings of the 8th international conference on Algorithmic number theory
Year:
2008

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Abstract

Computing a lower bound for the canonical height is a crucialstep in determining a Mordell-Weil basis of an elliptic curve. This paperpresents a new algorithm for computing such lower bound, which canbe applied to any elliptic curves over totally real number fields. Thealgorithm is illustrated via some examples.