You're not eligible because you are a dependent. Neither you nor your parents get the 2020 stimulus ($1200 + $600) for you. Dependents over 16 were not eligible. Your parents should get the 2021 stimulus ($1400) for you, as the dependent qualification rules changed.
Reference: https://ttlc.intuit.com/community/tax-topics/help/how-will-the-stimulus-package-impact-me/00/1393859
