If you go to the Yakima racks website, they have a tool that will tell which of their racks will fit your car. You just enter the model and year of your car, and it shows you which racks will fit. I am sure that they have a rear hitch rack that will fit your Corolla, but it will probably need to be a 1-1/4" rather than 2" model. We had one on our Honda Accord, which isn't much bigger than a Corolla, and they make one that fits my VW Golf.