  A non-topological soliton model with a repulsive scalar self-interaction of
the Emden type provides a constant density core,similarly as the empirical
Burkert profile of dark matter haloes. As a further test, we derive the
gravitational lens properties of our model, in particular, the demarcation
curves between `weak' and `strong' lensing. Accordingly, strong lensing with
typically three images is almost three times more probable for our solitonic
model than for the Burkert fit. Moreover, some prospective consequences of a
possible flattening of dark matter haloes are indicated.
