Minorations de hauteurs sur les variétés abéliennes
Minorations des hauteurs normalisées des sous-variétés des tores
Mock Heegner Points and Congruent Numbers.
Modèle de Legendre d'une courbe elliptique à multiplication complexe et monogénéite d'anneaux d'entiers II
Modèle de Legendre d'une courbe elliptique à multiplication complexe et monogénéité d'anneaux d'entiers. I
Modular automorphisms of the Drinfeld modular curves X0 (n).
Modular curves and the Eisenstein ideal
Modular curves of composite level
Modular equations of hyperelliptic X₀(N) and an application
Modular forms and class number congruences
Modular functions, elliptic functions and Galois module structure.
Modular parametrizations of certain elliptic curves
Kaneko and Sakai (2013) recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a particular differential equation involving modular forms and Ramanujan-Serre differential operator. In this paper, we study certain properties of the modular parametrization associated to the elliptic curves over ℚ, and as a consequence we generalize and explain some of their findings.
Modularity of fibres in rigid local systems.
Modularity of the Rankin-Selberg -series, and multiplicity one for .
Modulární křivky a Fermatova věta
Modules de Swan et courbes elliptiques à multiplication complexe
Mordell-Weil groups of generic Abelian varieties.
Mordell-Weil lattices in characteristic 2. III: A Mordell-Weil lattice of rank 128.
Mordell-Weil ranks of families of elliptic curves associated to Pythagorean triples
We study the family of elliptic curves y² = x(x-a²)(x-b²) parametrized by Pythagorean triples (a,b,c). We prove that for a generic triple the lower bound of the rank of the Mordell-Weil group over ℚ is 1, and for some explicitly given infinite family the rank is 2. To each family we attach an elliptic surface fibered over the projective line. We show that the lower bounds for the rank are optimal, in the sense that for each generic fiber of such an elliptic surface its corresponding Mordell-Weil...
More cubic surfaces violating the Hasse principle
We generalize L. J. Mordell’s construction of cubic surfaces for which the Hasse principle fails.