Every auto insurance company has its own means of determining if infractions on your driving record will affect your premium rate or not. It is always a possibility that the points on your driving record will affect your rates now or in the future. If your state allows you should see if you can take driving school or traffic school to get the points taken off.
To find specifics about your insurance company and how their rates are determined you can check with your state's insurance regulatory body. Insurance companies must file their rates with this governing body.