In a mixing bowl, cream together the butter and sugar until light and fluffy.

Gradually add the melted chocolate to the butter and sugar mixture, mixing until well combined.

Add one whole egg and beat for 3 minutes until smooth and creamy.

Add the second whole egg and beat for an additional 3 minutes, ensuring the mixture is well incorporated and silky smooth.

Pour the filling into the baked pie crust, spreading it evenly.

Refrigerate the pie for at least one hour to allow it to set.

Before serving, top the pie with whipped cream for an extra touch of indulgence.