De l'emploi des fonctions elliptiques dans la théorie du quadrilatère plan
Decomposition of non-archimedean analytic tori
Decompositions of an Abelian surface and quadratic forms
When a complex Abelian surface can be decomposed into a product of two elliptic curves, how many decompositions does the Abelian surface admit? We provide arithmetic formulae for the number of such decompositions.
Détermination explicite des courbes elliptiques ayant un groupe de torsion non trivial sur des corps de nombres quadratiques sur Q.
Determination of elliptic curves with everywhere good reduction over ℚ(√37)
Die arithmetische Struktur der rationalen Punkte auf Kurven vom Geschlecht Eins
Differential operators and rank bundles over elliptic curves
Distribution of Mordell-Weil ranks of families of elliptic curves
We discuss the distribution of Mordell-Weil ranks of the family of elliptic curves y² = (x + αf²)(x + βbg²)(x + γh²) where f,g,h are coprime polynomials that parametrize the projective smooth conic a² + b² = c² and α,β,γ are elements from ℚ̅. In our previous papers we discussed certain special cases of this problem and in this article we complete the picture by proving the general results.