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.

DOI

First Page

549

Last Page

556

Recommended Citation

NEKOVAR, JAN and SCHAPPACHER, NORBERT (1999) "On The Asymptotic Behavior of Heegner Points," Turkish Journal of Mathematics: Vol. 23: No. 4, Article 6. Available at: https://journals.tubitak.gov.tr/math/vol23/iss4/6

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