Additionally, it does not matter if you had earned income, only the income you spent on your own support matters.
For example, if you put all your income into a savings account, you would have supplied zero towards your own support, no matter what you earned.
From your description, it sounds like your parents supported you and it was correct that you were claimed by them as their dependent.
If you are unsure, you can use the IRS worksheet for support, but it sounds like the 2020 Tax Year returns were handled correctly.
And as Cynthia points out, your parents' return would also be affected if you changed your 2020 return, so you might want to go over it with them as well.
Support Worksheet
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