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Mathematics of Computation

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Numerical modular symbols for elliptic curves


Author: Christian Wuthrich
Journal: Math. Comp. 87 (2018), 2393-2423
MSC (2010): Primary 11-04, 11G05, 11F67, 11Y16
DOI: https://doi.org/10.1090/mcom/3274
Published electronically: November 2, 2017
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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.


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Christian Wuthrich
Affiliation: School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom
Email: christian.wuthrich@nottingham.ac.uk

DOI: https://doi.org/10.1090/mcom/3274
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
Article copyright: © Copyright 2017 American Mathematical Society

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