Electrical resistivity, Seebeck coefficient and specific heat measurements on a
(Cr100-xAlx)95Mo5, 0 8.1 at.% Al alloy system are reported. The results indicate two
possible quantum critical points in the magnetic phase diagram of this system. One is an
incommensurate spin-density-wave – paramagnetic quantum critical point situated at
1.5 at.% Al and the other a paramagnetic – commensurate spin-density-wave critical point
at 5 at.% Al. We forward experimental evidence that this system harbours two
spin-density-wave related quantum critical points which presents an unusually rich case study
for magnetic quantum criticality of the itinerant kind.