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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 ISSN 0075-4102.

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Official URL: http://dx.doi.org/10.1515/CRELLE.2008.012

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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, Engineering and Medicine > 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:
DateEvent
February 2008Published
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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