Not sure why you think your parents' income has anything to do with the tax rate you are subject to. If you are a dependent, you can still file your own tax return, but you must say on your own return that you can be claimed by someone else. You do not enter "who" can claim you. There is nothing about your parents' tax rate that is being used to calculate the tax on the income you received.
CAN I FILE A RETURN IF I AM A DEPENDENT?
If you can be claimed as a dependent on your parents’ return, you can still file your own return so that you can receive a refund of taxes withheld. (You will not get back anything for Social Security or Medicare withheld.) Be sure that on your own return you say that you can be claimed as a dependent on someone else’s return.
https://ttlc.intuit.com/community/children-dependents/help/do-i-need-to-file-my-own-taxes-if-i-m-a-d...
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