  Low mass neutron stars may be uniquely strong sources of gravitational waves
(GW). The neutron star crust can support large deformations for low mass stars.
This is because of the star's weaker gravity. We find maximum ellipticities
$\epsilon$ (fractional difference in moments of inertia) that are 1000 times
larger, and maximum quadrupole moments $Q_{22}$ over 100 times larger, for low
mass stars than for 1.4 $M_\odot$ neutron stars. Indeed, we calculate that the
crust can support an $\epsilon$ as large as 0.01 for a minimum mass neutron
star. A 0.12 $M_\odot$ star, that is maximally strained and rotating at 100 Hz,
will produce a characteristic gravitational wave strain of $h_0=2.1\times
10^{-24}$ at a distance of 1 kpc. The GW detector Advanced LIGO should be
sensitive to such objects through out the Milky Way Galaxy.
