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Descent calculations for the elliptic curves of conductor 11

Let A be one of the three elliptic curves over Q
with conductor 11. We show that A has MordellWeil rank zero over
its field of 5division points. In each case we also compute the
5primary part of the TateShafarevich group. Our calculations make use
of the Galois equivariance of the CasselsTate pairing.
Descent calculations for the elliptic curves of conductor 11
(31 pages)
This article has appeared in the Proceedings of the London Mathematical Society. The preprint cited as "Rational Points on X(11) over Q(mu_{11}) via Galois equivariance of the CasselsTate pairing" is available
here.