Since your income is less than $14,000, you would not be eligible for the Lifetime Learning Credit because you do not have a tax liability to reduce and this is one of the nonrefundable credits.
This means, that if you do not have a tax liability on line 16 of your 1040 to reduce, you would not be able to get the credit. Since your income is less than $14,000, your tax liability would be $0, therefore your Lifetime Learning Credit would be $0.
If the amount on line 16 was $1,000, your credit (assuming no other nonrefundable credits) would be $1,000 if you otherwise qualify. Same if it was $2,000, you would then be able to get the full $2,000 credit.