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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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, Engineering and Medicine > 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:	Date Event 2006 Published
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

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