If you want to see the BMW options...simply use one of the online part database sites...put in the last 7 digits of your VIN (or click the correct selections accordingly for what you have)...and then go to the WHEEL diagrams.
You will see the BMW recommended winter tire selections and sizes (and the part nbrs) that you can order from your local BMW dealership's parts department...or shop you local & national tire vendors where you may get better pricing and lifetime free balancing and seasonal tire changes.
If you're not familiar with any online part database sites...here's two popular ones: