That means they must allow everybody to use their services, unless the company is notified by law enforcement that the user is committing crimes.
http://legal-dictionary.thefreedictionary.com/Common+carrier
http://www.cybertelecom.org/notes/common_carrier.htm
http://en.wikipedia.org/wiki/Common_carrier#Telecommunications
So, the phone company cannot universally block a number merely because YOU complain ... however, they might give you the ability to block those calls to YOUR phone. Even better, you can protect yourself, by using a call blocking phone, app or other device.
Do not depend on others to enforce rules or policies YOU invent! Protect yourself!