Simple answer: Only your parents. The rule is: whoever claims the student's dependency claims the tuition credit.
But, taxes aren't simple. While technically there is a provision that allows you to claim a tuition credit, from a practical matter it seldom works out. A student, under age 24, is only eligible for the refundable portion of the American Opportunity Credit if he/she supports himself by working . He/she cannot be supporting herself on student loans & grants and 529 plans and parental support. It is usually best if the parent claims that credit.
If the student actually has a tax liability, there is a provision to allow him to claim a non-refundable tuition credit. But then the parent must forgo claiming the student as a dependent, and the $500 other dependent credit. The student must still indicate that he can be claimed as a dependent, on his return.
