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Almost Rational Torsion Points on Semistable Elliptic Curves

Frank Calegari

math.NTarXiv:math/0311366

Abstract

If P is an algebraic point on a commutative group scheme A/K, then P is almostrational if no two non-trivial Galois conjugates sigma(P), tau(P), have sum equal to 2P. In this paper, we classify almost rational torsion points on semistable elliptic curves over Q.

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