Computing heights on elliptic curves-Reference-Cited by-同舟云学术

Computing heights on elliptic curves

Published:1988 Issue:183 Volume:51 Page:339-358
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Silverman Joseph H.

Abstract

We describe how to compute the canonical height of points on elliptic curves. Tate has given a rapidly converging series for Archimedean local heights over R. We describe a modified version of Tate’s series which also converges over C, and give an efficient procedure for calculating local heights at non-Archimedean places. In this way we can calculate heights over number fields having complex embeddings. We also give explicit estimates for the tail of our series, and present several examples.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1988-51-183/S0025-5718-1988-0942161-4/S0025-5718-1988-0942161-4.pdf

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