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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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Numerical modular symbols for elliptic curves
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by Christian Wuthrich;
Math. Comp. 87 (2018), 2393-2423
DOI: https://doi.org/10.1090/mcom/3274
Published electronically: November 2, 2017

Abstract:

We present a detailed analysis of how to implement the computation of modular symbols for a given elliptic curve by using numerical approximations. This method turns out to be more efficient than current implementations as the conductor of the curve increases.
References
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Bibliographic Information
  • Christian Wuthrich
  • Affiliation: School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom
  • MR Author ID: 681572
  • Email: christian.wuthrich@nottingham.ac.uk
  • Received by editor(s): August 23, 2016
  • Received by editor(s) in revised form: January 21, 2017, and March 20, 2017
  • Published electronically: November 2, 2017
  • © Copyright 2017 American Mathematical Society
  • Journal: Math. Comp. 87 (2018), 2393-2423
  • MSC (2010): Primary 11-04, 11G05, 11F67, 11Y16
  • DOI: https://doi.org/10.1090/mcom/3274
  • MathSciNet review: 3802440