  We construct two one-parameter families of minimal properly embedded surfaces
in the Lie group Sol3 using a Weierstrass-type representation. These surfaces
are not invariant by a one-parameter group of ambient isometries. The first one
can be viewed as a family of helicoids, and the second one is a family of
minimal annuli called catenoids. Finally we study limits of these catenoids,
and in particular we show that one of these limits is a new minimal entire
graph.
