On The Asymptotic Behavior of Heegner Points

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 J0(N)) are of infinite order in the Mordell-Weil group where they naturally live, i.e., over the corresponding ring class field.

On The Asymptotic Behavior of Heegner Points

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 J0(N)) are of infinite order in the Mordell-Weil group where they naturally live, i.e., over the corresponding ring class field.