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We use a sample of 17 strong gravitational lens systems from the BELLSGALLERY survey to quantify the amount of low-mass dark matter haloes within thelensing galaxies and along their lines of sight, and to constrain theproperties of dark matter. Based on a detection criterion of 10$\sigma$, wereport no significant detection in any of the lenses. Using the sensitivityfunction at the 10-$\sigma$ level, we have calculated the predicted number ofdetectable cold dark matter (CDM) line-of-sight haloes to be $\mu_{l} =1.17\pm1.08$, in agreement with our null detection. Assuming a detectionsensitivity that improved to the level implied by a 5-$\sigma$ threshold, theexpected number of detectable line-of-sight haloes rises to $\mu_l =9.0\pm3.0$. Whilst the current data find zero detections at this sensitivitylevel (which has a probability of P$^{{\rm5}\sigma}_{{\rm CDM}}(n_{\rmdet}=0)$=0.0001 and would be in strong tension with the CDM framework), we findthat such a low detection threshold leads to many spurious detections andnon-detections and therefore the current lack of detections is unreliable andrequires data with improved sensitivity. Combining this sample with a subsampleof 11 SLACS lenses, we constrain the half-mode mass to be $\log$(M$_{\rm hm}) <12.26$ at the 2-$\sigma$ level. The latter is consistent with resonantlyproduced sterile neutrino masses m$_{\rm s} < 0.8$ keV at any value of thelepton asymmetry at the 2-$\sigma$ level.

Low-mass halo perturbations in strong gravitational lenses at redshift z$\sim$0.5 are consistent with CDM