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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. doi:10.1090/S0025-5718-10-02352-5 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Mathematics of Computation | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0025-5718 | ||||
Official Date: | October 2010 | ||||
Dates: |
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Volume: | Vol.79 | ||||
Number: | No.272 | ||||
Number of Pages: | 19 | ||||
Page Range: | pp. 2431-2449 | ||||
DOI: | 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 |
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