engleski

Mordell-Weil groups of elliptic curves over number fields of small degree

We will talk about various recent results about elliptic curves over number fields of degree 2, 3 and 4, focusing on the interplay of the torsion group and the rank over a fixed number field. It will be shown that what happens is quite different than over the rationals. For example, we show that there are number fields where all elliptic curves with a given torsion group have rank 0 and other fields where all curves with another torsion group have positive rank.

elliptic curves ; number fields

nije evidentirano