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Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields

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Book cover Algorithmic Number Theory (ANTS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5011))

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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.

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Authors and Affiliations

  1. Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK

    Thotsaphon Thongjunthug

Authors
  1. Thotsaphon Thongjunthug
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Alfred J. van der Poorten Andreas Stein

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© 2008 Springer-Verlag Berlin Heidelberg

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Thongjunthug, T. (2008). Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields. In: van der Poorten, A.J., Stein, A. (eds) Algorithmic Number Theory. ANTS 2008. Lecture Notes in Computer Science, vol 5011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79456-1_9

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  • DOI: https://doi.org/10.1007/978-3-540-79456-1_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79455-4

  • Online ISBN: 978-3-540-79456-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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