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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.
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Official URL: http://springerlink.com/content/105633/
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 |
| Date: | 2006 |
| 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 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/33132 |
Data sourced from Thomson Reuters' Web of Knowledge
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