5-Torsion in the Shafarevich–Tate Group of a Family of Elliptic Curves

Cheryl DeLorme Beaver

Type: Article

Publication Date: 2000-05-01

Citations: 10

DOI: https://doi.org/10.1006/jnth.1999.2493

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Locations

Journal of Number Theory - View

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+	Finding elements of given order in Tate-Shafarevich groups of elliptic curves	2003	Stephen Robert Donnelly
+	Descent via isogeny on elliptic curves with large rational torsion subgroups	2007	E. V. Flynn C. Grattoni
+	The Cassels–Tate pairing and the Platonic solids	2002	Tom Fisher
+	Elements of class groups and Shafarevich-Tate groups of elliptic curves	2003	Antal Balog Ken Ono
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+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman
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+	Arithmetic on Curves of genus 1. VI. The Tate-Safarevic group can be arbitrarily large.	1964	J. W. S. Cassels
+ PDF Chat	Some remarks concerning points of finite order on elliptic curves over global fields	1977	Gerhard Frey
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+ PDF Chat	Computing rational points on rank 1 elliptic curves via $L$-series and canonical heights	1999	Joseph H. Silverman
+	Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication	1987	Karl Rubin