  To each Drinfeld module over a finitely generated field with generic
characteristic, one can associate a Galois representation arising from the
Galois action on its torsion points. Recent work of Pink and R\"utsche has
described the image of this representation up to commensurability. Their
theorem is qualitative, and the objective of this paper is to complement this
theory with a worked out example. In particular, we give examples of Drinfeld
modules of rank 2 for which the Galois action on their torsion points is as
large as possible. We will follow the approach that Serre used to give explicit
examples of his openness theorem for elliptic curves. Using our specific
examples, we will numerically test analogues of some well-known elliptic curve
conjectures.

Number Theory