While the crust is cooking, in a large bowl combine the cream cheese and sugar.
Mix at medium speed with an electric mixer until well blended.
Add eggs, one at a time, mixing well after each addition.
Blend in sour cream, flour, lime juice, vanilla and green food coloring.
Pour mixture into cooled crust.
Bake the cheesecake in the 350°F oven for about 15 minutes. Reduce the oven to 250°F and bake for 50 - 55 minutes longer, or until center is barely set.
Remove the cheesecake and cool on a rack.
Once cooled, chill it, covered, overnight.
Using a knife loosen cake from rim of pan. Remove the cheesecake from the pan and transfer it to a cake stand.