Using a mixer cream together the cream cheese and sugar until smooth.
Add the sour cream, vanilla and lemon extracts, lemon juice and lemon zest. Mix at medium-high speed to incorporate all the ingredients.
Add eggs, one at a time, and mix to fully blend all ingredients into a smooth filling. Pour filling into the prepared crust.
Spoon the filling into the prepared crust. Place the cheesecake in a roasting pan and fill pan with boiling water until halfway up the side of the springform pan. Bake for 50 minutes; the cheesecake will still be jiggly but will continue to firm up.
Turn off the oven, leave the door closed and leave the cheesecake in the oven for 1 hour.
Remove the cheesecake from the roasting pan and remove the foil. Gently run a knife around the outside of the cheesecake to allow it to easily separate from the pan as it cools. Place on a cooling rack until it reaches room temperature; 1-2 hours.
Prepare a piece of foil to loosely cover the cheesecake. Poke a few holes in it with a knife or bamboo skewer; this will allow any remaining condensation from the chilling to escape and not drip back onto the cheesecake. Chill for at least four hours and preferably overnight. Run a knife around the outside of the cake before loosening the springform pan sides and gently removing the outer ring.
To cut cheesecake: Fill a tall glass or jar with hot water. Run a long knife under hot water and wipe dry. Slice the cheesecake dipping the knife in the hot water and drying it in between cuts.