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

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Cremona, John and Siksek, Samir (2006) Computing a lower bound for the canonical height on elliptic curves over Q. In: 7th International Symposium on Algorithmic Number Theory, Tech Univ Berlin, Berlin, GERMANY, 23-28 Jul 2006. Published in: Lecture Notes in Computer Science, Volume 4076 pp. 275-286. ISBN 3-540-36075-1. ISSN 0302-9743.

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Official URL: http://springerlink.com/content/105633/

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Abstract

Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis for E is to exhibit some positive lower bound lambda > 0 for the canonical height h on non-torsion points.

We give a new method for determining such a lower bound, which does not involve any searching for points.

Item Type: Conference Item (Paper)
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Divisions: Faculty of Science > Mathematics
Series Name: Lecture Notes in Computer Science
Journal or Publication Title: Lecture Notes in Computer Science
Publisher: Springer
ISBN: 3-540-36075-1
ISSN: 0302-9743
Editor: Hess, F and Pauli, S and Pohst, M
Official Date: 2006
Dates:
DateEvent
2006Published
Volume: Volume 4076
Number of Pages: 12
Page Range: pp. 275-286
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Conference Paper Type: Paper
Title of Event: 7th International Symposium on Algorithmic Number Theory
Type of Event: Other
Location of Event: Tech Univ Berlin, Berlin, GERMANY
Date(s) of Event: 23-28 Jul 2006

Data sourced from Thomson Reuters' Web of Knowledge

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