While the crust is cooling, prepare the filling.
In a medium saucepan over medium-low heat, mix together the chocolate and heavy cream and stir frequently until the chocolate is melted. Remove from the heat. It shouldn't be extremely hot (mine was 140 °F (60 °C)), which is well under the coagulation temp of 180 °F (83 °C). If yours is closer to coagulation temp, let it cool for about 5-10 minutes, while stirring occasionally so that the eggs don't scramble when added.
1 3/4 cups (298 grams) chocolate chips, 1 1/2 cups (355 milliliters) heavy cream
Stir in the vanilla extract, salt and beaten eggs.
1 teaspoon vanilla extract, 1/8 teaspoon salt, 2 large eggs
Place the tart pan back on the baking sheet.
Pour the filling over the partially cooled crust, making sure not to pour the filling over the sides of the crust. I had about 1 tablespoon left over.
Bake for 22-27 minutes or until the center is set. I did 25.5 minutes. At 22 minutes, the center was still very jiggly and had a different appearance than the rest of the tart. When you tap the pan, there shouldn't be any ripples, but it won't be totally firm. I see that chocolate tarts should have an internal temp of 60 °F to 180 °F (71 °C to 82 °C), but when I took mine out, it was 199 °F (93 °C). It might be a little puffed up when you take it out of the oven, but it will soon “deflate.”
Remove the baking sheet along with the tart and place on a cooling rack for about 15-20 minutes or until you can remove the pan from the baking sheet without burning yourself. Place the tart pan back on the cooling rack and cool for another 45 minutes or until cool enough to place in the fridge. Chill for another 3 hours or overnight before adding the sauce.