Théorie élémentaire des fonctions elliptiques
Théorie élémentaire des fonctions elliptiques
Three constructions of rational points on Y2 = X3 ... NX.
Three constructions of rational points on Y2 = X3 ... NX (Errata).
Torsion des courbes elliptiques sur les corps cubiques
On donne la liste (à un élément près) des nombres premiers qui sont l’ordre d’un point de torsion d’une courbe elliptique sur un corps de nombres de degré trois.
Torsion groups of a family of elliptic curves over number fields
We compute the torsion group explicitly over quadratic fields and number fields of degree coprime to 6 for a family of elliptic curves of the form , where is an integer.
Torsion groups of elliptic curves over quadratic fields
Torsion groups of elliptic curves with integral j-invariant over quadratic fields.
Torsion in elliptic curves over
Torsion points in families of Drinfeld modules
Let be an algebraic family of Drinfeld modules defined over a field K of characteristic p, and let a,b ∈ K[λ]. Assume that neither a(λ) nor b(λ) is a torsion point for for all λ. If there exist infinitely many λ ∈ K̅ such that both a(λ) and b(λ) are torsion points for , then we show that for each λ ∈ K̅, a(λ) is torsion for if and only if b(λ) is torsion for . In the case a,b ∈ K, we prove in addition that a and b must be -linearly dependent.
Torsion points on elliptic curves and q-coeffincients of modular forms.
Torsion Points on Elliptic Curves over a Global Field.
Torsion points on elliptic curves over all quadratic fields. II
Torsion points on elliptic curves over fileds of low degree.
Transcendance de périodes d'intégrales elliptiques.
Transcendance de périodes d'intégrales elliptiques
Transcendance de périodes d'intégrales elliptiques. II.
Transcendance et fonctions elliptiques
Transzendenzeigenschaften von Perioden elliptischer Integrale.
Travaux de Coates et Wiles sur la conjecture de Birch et Swinnerton-Dyer