  The distortion of the spacetime structure in the surroundings of black holes
affects the trajectories of light rays. As a consequence, black holes can act
as gravitational lenses. Observations of type Ia supernovas, show that our
Universe is in accelerated expansion. The usual explanation is that the
Universe is filled with a negative pressure fluid called dark energy, which
accounts for 70 % of its total density, which can be modeled by a
self-interacting scalar field with a potential. We consider a class of
spherically symmetric regular phantom black holes as gravitational lenses. We
study large deflection angles, using the strong deflection limit, corresponding
to an asymptotic logarithmic approximation. In this case, photons passing close
to the photon sphere of the black hole experiment several loops around it
before they emerge towards the observer, giving place to two infinite sets of
relativistic images. Within this limit, we find analytical expressions for the
positions and the magnifications of these images. We discuss the results
obtained and make a comparison with the Schwarzschild and Brans-Dicke solutions
for the case of the galactic center supermassive black hole.
