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 .