There is no such thing as an earned income child credit.
The Earned Income Tax Credit is based on your filing status, income and the number of children being claimed as dependents. You would not be eligible for EIC based on your income and having one child.
Go to this IRS website for EIC - https://www.irs.gov/credits-deductions/individuals/earned-income-tax-credit/do-i-qualify-for-earned-...
For the Child Tax Credit the child being claimed as a dependent must be under the age of 17 on the last day of the year. Your income. The CTC is $1,000 and begins to phase out after your Modificed Adjusted Gross Income reaches $75,000 when filing as Single or Head of Household.
The TurboTax program will calculate your CTC after you have entered your Personal Information and tax data into the program.
2017 EIC Income Limits,
2017 Earned Income and Adjusted Gross Income (AGI) must each be less than:
$48,340 ($53,930 married filing jointly) with three or more qualifying children
$45,007 ($50,597 married filing jointly) with two qualifying children
$39,617 ($45,207 married filing jointly) with one qualifying children
$15,010 ($20,600 married filing jointly) with no qualifying children
Tax Year 2017 maximum credit:
$6,318 with three or more qualifying children
$5,616 with two qualifying children
$3,400 with one qualifying child
$510 with no qualifying children