Place the chopped chocolate in a small, heat-proof bowl. Set aside. Heat the heavy cream in a small saucepan over medium heat until it starts to sizzle around the edge of the pan (or it reaches 180°F). Pour the heavy cream over the chopped chocolate pieces and stir until the chocolate is completely melted and smooth. Set aside and allow to cool.
In a large mixing bowl, beat the softened cream cheese and sugar with an electric mixer on medium speed until smooth and creamy. Mix in the sour cream, dark cocoa powder, and vanilla extract until smooth.
Pour in the cooled chocolate ganache and continue mixing. Add the eggs one at a time, beating at low speed until all of the eggs have been incorporated and they are just mixed. Be careful not to overmix the cheesecake batter once the eggs are added because overmixing can result in a cracked cheesecake.
Pour the cheesecake filling into the baked crust, and place it in a large roasting pan. Fill the roasting pan with hot water that goes halfway up the cheesecake pan. Bake at 325 degrees for 1 hour and 10 minutes or until the cheesecake is still slightly jiggly in the middle.
Turn off the oven but keep the cheesecake in the oven for 1 hour before removing it. Set the cheesecake on a cooling rack for 1 hour or until it is room temperature, then cover it with plastic wrap and chill for at least 4 hours or overnight.