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Efficient Computation of p-Adic Heights

Published online by Cambridge University Press:  01 February 2010

David Harvey
David Harvey
Affiliation:
Department of Mathematics, Harvard University, 1 Oxford St, Cambridge, MA 02138, USA, [email protected]

Abstract

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We analyse and drastically improve the running time of the algorithm of Mazur, Stein and Tate for computing the canonical cyclotomic p-adic height of a point on an elliptic curve E/Q, where E has good ordinary reduction at p ≥ 5.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 11 , 2008 , pp. 40 - 59
Copyright
Copyright © London Mathematical Society 2008

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