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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, JUL 23-28, 2006. Published in: ALGORITHMIC NUMBER THEORY, PROCEEDINGS, 4076 pp. 275-286.

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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 (UNSPECIFIED)
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Series Name: LECTURE NOTES IN COMPUTER SCIENCE
Journal or Publication Title: ALGORITHMIC NUMBER THEORY, PROCEEDINGS
Publisher: SPRINGER-VERLAG BERLIN
ISBN: 3-540-36075-1
ISSN: 0302-9743
Editor: Hess, F and Pauli, S and Pohst, M
Date: 2006
Volume: 4076
Number of Pages: 12
Page Range: pp. 275-286
Publication Status: Published
Title of Event: 7th International Symposium on Algorithmic Number Theory
Location of Event: Tech Univ Berlin, Berlin, GERMANY
Date(s) of Event: JUL 23-28, 2006
URI: http://wrap.warwick.ac.uk/id/eprint/33132

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