Vendredi 23 octobre 2020
Valentin Petit
(Université de Franche-Comté)
This work is focused on a family of two-parameters elliptic curves. The family considered is a generalization of the Washington’s family. For a point to be among the generator(s) of an elliptic curve, it must be non divisible. In this presentation, we exhibit a point on the curve for which this requirement is satisfied.
More precisly, let and
, we consider the elliptic curve
defined over
. The element
is a point of
of infinite order for all
. Under mild conditions, we proved that this point is not divisible on
.