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View abstract:
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Published: |
December 28, 2000
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Keywords: |
Canonical heights, Elliptic divisibility sequences, Elliptic curves, Number fields, Elliptic Lehmer problem
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Subject: |
11G07
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Abstract:
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We use elliptic
divisibility sequences to describe
a method for estimating the global canonical height of an
algebraic point on an elliptic curve. This method requires
almost no knowledge of the number field or the
curve, is simple to implement, and requires no
factorization.
The method is ideally suited to searching for algebraic points
with small height, in connection with the elliptic Lehmer problem.
The accuracy of the method is discussed.
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Author information:
G. Everest:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK.
g.everest@uea.ac.uk
http://www.mth.uea.ac.uk/~h090/
T. Ward:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK.
t.ward@uea.ac.uk
http://www.mth.uea.ac.uk/~h720/
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