Visualizing elements of order $7$ in the Tate–Shafarevich group of an elliptic curve. Issue Volume 19:Issue A(2016) (August 2016)

Record Type:
Journal Article
Title:
Visualizing elements of order $7$ in the Tate–Shafarevich group of an elliptic curve. Issue Volume 19:Issue A(2016) (August 2016)
Main Title:
Visualizing elements of order $7$ in the Tate–Shafarevich group of an elliptic curve
Authors:
Fisher, Tom
Abstract:
Abstract : We study the elliptic curves in Cremona's tables that are predicted by the Birch–Swinnerton-Dyer conjecture to have elements of order $7$ in their Tate–Shafarevich group. We show that in many cases these elements are visible in an abelian surface or abelian 3-fold.
Is Part Of:
LMS journal of computation and mathematics. Volume 19:Issue A(2016)
Journal:
LMS journal of computation and mathematics
Issue:
Volume 19:Issue A(2016)
Issue Display:
Volume 19, Issue A (2016)
Year:
2016
Volume:
19
Issue:
A
Issue Sort Value:
2016-0019-NaN-0000
Page Start:
100
Page End:
114
Publication Date:
2016-08
Subjects:
11G05, -- 11G30
Journal URLs:
https://www.cambridge.org/core/journals/lms-journal-of-computation-and-mathematics ↗
DOI:
10.1112/S1461157016000243 ↗
Languages:
English
ISSNs:
1461-1570
Deposit Type:
Legaldeposit
View Content:
Available online (eLD content is only available in our Reading Rooms) ↗
Physical Locations:
British Library HMNTS - ELD Digital store
Ingest File:
14514.xml