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Computing a lower bound for the canonical height on elliptic curves over number fields
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Thongjunthug, Thotsaphon. (2010) Computing a lower bound for the canonical height on elliptic curves over number fields. Mathematics of Computation, Vol.79 (No.272). pp. 2431-2449. ISSN 0025-5718
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Official URL: http://www.ams.org/mcom
Abstract
Computing a lower bound for the canonical height is a crucial step in determining a Mordell-Weil basis for elliptic curves. This paper presents an algorithm for computing such a lower bound for elliptic curves over number fields without searching for points. The algorithm is illustrated by some examples.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Mathematics of Computation |
| Publisher: | American Mathematical Society |
| ISSN: | 0025-5718 |
| Date: | October 2010 |
| Volume: | Vol.79 |
| Number: | No.272 |
| Number of Pages: | 19 |
| Page Range: | pp. 2431-2449 |
| Identification Number: | 10.1090/S0025-5718-10-02352-5 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Development and Promotion of Science and Technology Talents Project (DPST), Thailand |
| URI: | http://wrap.warwick.ac.uk/id/eprint/5174 |
Data sourced from Thomson Reuters' Web of Knowledge
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