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Computing a lower bound for the canonical height on elliptic curves over totally real number fields
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Thongjunthug, Thotsaphon (2008) Computing a lower bound for the canonical height on elliptic curves over totally real number fields. In: 8th International Symposium on Algorithmic Number Theory, Banff, Canada, May 17-22, 2008. Published in: Lecture Notes in Computer Science, Vol.5011 pp. 139-152. ISBN 978-3-540-79455-4. doi:10.1007/978-3-540-79456-1_9 ISSN 0302-9743.
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Official URL: http://dx.doi.org/10.1007/978-3-540-79456-1_9
Abstract
Computing a lower bound for the canonical height is a crucial step in determining a Mordell-Weil basis of an elliptic curve. This paper presents a new algorithm for computing such lower bound, which can be applied to any elliptic curves over totally real number fields. The algorithm is illustrated via some examples.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Curves, Elliptic, Numbers, Real | ||||
Journal or Publication Title: | Lecture Notes in Computer Science | ||||
Publisher: | Springer | ||||
ISBN: | 978-3-540-79455-4 | ||||
ISSN: | 0302-9743 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.5011 | ||||
Number of Pages: | 14 | ||||
Page Range: | pp. 139-152 | ||||
DOI: | 10.1007/978-3-540-79456-1_9 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Title of Event: | 8th International Symposium on Algorithmic Number Theory | ||||
Type of Event: | Conference | ||||
Location of Event: | Banff, Canada | ||||
Date(s) of Event: | May 17-22, 2008 |
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