Numerical modular symbols for elliptic curves
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 effcient than current implementations as the conductor of the curve increases.
| Main Author: | |
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| Format: | Article |
| Published: |
American Mathematical Society
2017
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| Online Access: | https://eprints.nottingham.ac.uk/41549/ |
| _version_ | 1848796300510756864 |
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| author | Wuthrich, Christian |
| author_facet | Wuthrich, Christian |
| author_sort | Wuthrich, Christian |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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 effcient than current implementations as the conductor of the curve increases. |
| first_indexed | 2025-11-14T19:45:48Z |
| format | Article |
| id | nottingham-41549 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:45:48Z |
| publishDate | 2017 |
| publisher | American Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-415492020-05-04T18:38:42Z https://eprints.nottingham.ac.uk/41549/ Numerical modular symbols for elliptic curves Wuthrich, Christian 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 effcient than current implementations as the conductor of the curve increases. American Mathematical Society 2017-03-23 Article PeerReviewed Wuthrich, Christian (2017) Numerical modular symbols for elliptic curves. Mathematics of Computation . ISSN 0025-5718 (In Press) |
| spellingShingle | Wuthrich, Christian Numerical modular symbols for elliptic curves |
| title | Numerical modular symbols for elliptic curves |
| title_full | Numerical modular symbols for elliptic curves |
| title_fullStr | Numerical modular symbols for elliptic curves |
| title_full_unstemmed | Numerical modular symbols for elliptic curves |
| title_short | Numerical modular symbols for elliptic curves |
| title_sort | numerical modular symbols for elliptic curves |
| url | https://eprints.nottingham.ac.uk/41549/ |