On Tate-Shafarevich Groups of some Elliptic Curves
نویسنده
چکیده
Generalizing results of Stroeker and Top we show that the 2-ranks of the TateShafarevich groups of the elliptic curves y = (x + k)(x + k) can become arbitrarily large. We also present a conjecture on the rank of the Selmer groups attached to rational 2-isogenies of elliptic curves. 1991 Mathematics Subject Classification: 11 G 05
منابع مشابه
On the Tate-shafarevich Groups of Certain Elliptic Curves
The Tate-Shafarevich groups of certain elliptic curves over Fq(t) are related, via étale cohomology, to the group of points of an elliptic curve with complex multiplication. The Cassels-Tate pairing is computed under this identification.
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