What forms do I need to file for earned income credit and I have a child but I did not work

[xmasbaby0]

Sorry, but a requirement for getting earned income credit is that you must have income earned from working.  You say, "I did not work."  If you did not work, you are not eligible to receive earned income credit or any other child-related credit.  Perhaps there is someone who has been supporting you and your child who should/could be claiming both of you as dependents on their tax return.