Regulators of elliptic curves
Appears in collection : Diophantine approximation and transcendence / Approximation diophantienne et transcendance
In a recent collaboration with Pascal Autissier and Marc Hindry, we prove that up to isomorphisms, there are at most finitely many elliptic curves defined over a fixed number field, with Mordell-Weil rank and regulator bounded from above, and rank at least 4.
