Family interfering with relationship

I haven't broken up with my boyfriend but we are going through hard times. My mom wont let me move out until I finish college and she makes sure to make it really hard for me to move out. I'm not allowed to leave the house until 3 and I am to be home before midnight. My boyfriend and I have been together for 2 and a half years and it stresses him out that my mom still has times for me to leave and to be home. A year ago my mom found pregnancy tests that were negative and since then she thinks of my boyfriend as abusive and has tried to convince me that he possibly raped me? She makes things up and insults my boyfriend and it hurts me, ive told her but she always finds something to say to get her way. She wont let me get a job and my dad wont let me get a car. Ive told them I'm ready for that but they say I dont need any of that and that I should just focus on school even though Im safley on track to graduate. All of this has been going on for more than a year and because of this, me and my boyfriend argue constantly. I don't know what to do and I've been feeling really down for a long time.