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Explicit n-descent on elliptic curves, I. algebra
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Cremona, J. E., Fisher, T. A., O'Neil, C., Simon, D. (Denis) and Stoll, M. (Michael) (2008) Explicit n-descent on elliptic curves, I. algebra. Journal fur die reine und angewandte Mathematik, Vol.615 . pp. 121-155. doi:10.1515/CRELLE.2008.012
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Official URL: http://dx.doi.org/10.1515/CRELLE.2008.012
Abstract
This is the first in a series of papers in which we study the n-Selmer group of an elliptic curve, with the aim of representing its elements as genus one normal curves of degree n. The methods we describe are practical in the case n = 3 for elliptic curves over the rationals, and have been implemented in MAGMA.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Jacobians, Curves, Elliptic | ||||
| Journal or Publication Title: | Journal fur die reine und angewandte Mathematik | ||||
| Publisher: | Walter de Gruyter & Co | ||||
| ISSN: | 0075-4102 | ||||
| Official Date: | February 2008 | ||||
| Dates: |
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| Volume: | Vol.615 | ||||
| Number of Pages: | 35 | ||||
| Page Range: | pp. 121-155 | ||||
| DOI: | 10.1515/CRELLE.2008.012 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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