In a medium bowl, whisk eggs and egg yolks together and set aside.
In a small saucepan, whisk together sugar, cornstarch, salt, and lemon zest. Add lemon juice and butter and cook on medium heat, stirring often until the mixture just starts to bubble.
Remove the pan from heat and slowly pour the lemon mixture into the eggs, whisking constantly. Transfer curd to a new small or medium saucepan, whisking constantly over medium-low heat until the curd starts to thicken and coat the back of a spoon, this takes several minutes.
Place a fine-meshed sieve over a medium-sized bowl and strain the curd into the bowl. Stir in the cream and pour the curd into the warm crust.
Bake the filled tart in the 350°C/280°C oven for 10 minutes to set the tart. Take it out of the oven and place on a cooling rack to cool to room temperature, for about 1-2 hours.
Serve at room temperature or carefully cover with plastic wrap, refrigerate for 3-4 hours or overnight, and serve chilled. Once cooled, before serving, remove the outer ring from the pan and using a thin metal spatula, slide it between the bottom crust and the tart pan bottom and carefully transfer it to the serving plate.
The lemon tart can be served plain, sprinkled with powdered sugar, garnished with fruit, or with whipped cream and fruit.