On The Asymptotic Behavior of Heegner Points

Authors: JAN NEKOVAR, NORBERT SCHAPPACHER

Abstract: We prove that all but finitely many Heegner points on a given modular elliptic curve (or, more generally, on a given quotient of the modular Jacobian variety $J_0(N)$) are of infinite order in the Mordell-Weil group where they naturally live, i.e., over the corresponding ring class field.

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