Don't apply for a joint account, unless you want to forever be dependent on your parents' credit. Do this:
1. Open a Chase College Checking account
2. Apply for Chase Freedom and Discover It (or other no AF card)
3. If you get lucky and get approved, great, wait 6 months and apply for something else. If not, apply for a Secured card from Capital One. Then in 6 months re-apply for Chase Freedom
When I turned 18 I got declined for the Chase Student card. IMO Student credit cards are 100% BS. They're not necessarily easier for you to get approved for as a student. They just have rewards program that "cater to students" but actually just kind of suck.
After I got declined, I got a $200 secured card from Orchard Bank. I paid in full every month, 6 months later I applied for Chase Freedom and was approved.