Depends on the profile. The link below will give you an idea of appropriate rim/tire width relationships. You can also look at a tire dealers catalog which will list the acceptable rim size for a paritcular size manufacturer's tire.
A forum community dedicated to BMW E46, E90, and F30 owners and enthusiasts. Come join the discussion about M performance, turbo kits, engine swaps, builds, modifications, classifieds, troubleshooting, maintenance, and more!