  We report on low temperature susceptibility and magnetization measurements
made on single crystals of the recently discovered heavy-fermion superconductor
UTe$_2$ and compare the results with the two ambient pressure ferromagnetic
superconductors URhGe and UCoGe. Hysteresis curves in the superconducting phase
show a familiar diamond shape superimposed on a large paramagnetic background.
The Meissner state was measured by zero field cooling in small fields of a few
Oe as well as ac susceptibility measurements in small fields and resulted in
100\% shielding, with a sharp transition. However the field cooling
Meissner-Ochsenfeld effect (expulsion of flux) was negligible in fields greater
than just a few Oe, but becomes nearly 30\% of the perfect diamagnetic signal
when the field was reduced to 0.01~Oe. The critical current due to flux pinning
was studied by ac susceptibility techniques. Over the range in fields and
temperature of this study, no signature of a ferromagnetic transition could be
discerned. The lower critical field $H_{\rm c1}$ has been measured along the
three crystalographic axes, and surprisingly, the anisotropy of $H_{\rm c1}$
contradicts that of the upper critical field. We discuss this discrepancy and
show that it may provide additional support for a magnetic field-dependent
pairing mediated by ferromagnetic fluctuations in UTe$_2$.
