It really depends on the state you live in.. I know in Florida they are illegal PERIOD so we had to take that out of our plans for next year.. Not sure about Rotts but as long as you have papers on him, something that says his breed, you should be alright. There aren't laws against having them, just things you must do IF you have one. It really depends on where you're renting from.. we were just lucky to finally find somewhere that allowed dogs in general. Granted, Kilo's certificate says he's an American Pitbull MIX- even though he's a full breed. We found a vet who did that for us bc full breeds have serious laws associated w/ them.. NO walking without a leash, no house w/o a fence, etc. If his papers didn't say he was a mix our neighbors could sue us when he jumps up to sniff/lick them (he's super friendly lol.. just a big BABY.. Kara's got one, too.. they're such lovers). But there aren't really any laws against having certain "vicious" breeds when renting here, as long as you have certs on him, you should be fine.
Sorry I got ramble-y.. But just check the state laws bc you might want to find a vet who will make a cert saying he's a mix bc there can be some lengthy laws that go along with those breeds (the leash/fence junk).
Ohio's list is: Rottweiller, German Shepherd, Husky, Malamute, Doberman Pinscher, Chow Chow, Great Dane, & Saint Bernard. Pitbulls were (thankfully!) removed in May of 2012.