Dergiler / Turkish Journal of Mathematics / 1999 / Cilt: 23 - Sayı: 4
On The Asymptotic Behavior of Heegner Points
- Sayfa
- 549–556
- DOI
- —
Özet
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.
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 J0(N)) are of infinite order in the Mordell-Weil group where they naturally live, i.e., over the corresponding ring class field.