Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres

Abstract

In this paper we give a detailed proof of a result we announced a year ago. This result is an effective version of the theorem of Mazur-Kamienny-Merel concerning uniform bounds for rational torsion points on elliptic curves over number fields.

LaTeX, 33 pages with 2 figures, hard copy available in a few days; send email to [email protected]

Cited by in corpus (6)

• Torsion of rational elliptic curves over quadratic fields
• Algebraic divisibility sequences over function fields
• The Manin constant in the semistable case
• Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields
• A uniform bound on the Brauer groups of certain log K3 surfaces
• Torsion primes for elliptic curves over degree 8 number fields