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2n-descent on elliptic curves for all n

✍ Scribed by Swinnerton-Dyer, P.

Book ID
121482462
Publisher
Oxford University Press
Year
2012
Tongue
English
Weight
259 KB
Volume
87
Category
Article
ISSN
0024-6107

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In this paper we determine all elliptic curves E n : xÞ based on the 2-descent method. The values of n for such curves E n are described in terms of graph-theory language. It is well known that the rank of the group E n ðQÞ for such curves E n is zero, the order of its Tate-Shafarevich group is odd