On the independence of Heegner points associated to distinct quadratic imaginary fields

Homomorphisms From the Group of Rational

Homomorphisms From the Group of Rational Points On Elliptic Curves to Class Groups of Quadratic Number Fields

✍ R. Soleng 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 586 KB

The main purpose of this paper is to prove that there is a homomorphism from the group of primitive points on an elliptic curve given by an equation \(Y^{2}=X^{3}+a_{2} X^{2}+a_{4} X+a_{6}\) to the ideal class group of the order \(\mathbb{Z}+\mathbb{Z} \sqrt{a_{6}}\). Two applications are given. Fir