Preheat the oven to 180°C (350°F). Grease the bottom and the sides of a springform pan (6 or 7 inches/16cm) with vegan butter. Then line the bottom and the sides of the pan with parchment paper.
In a bowl, combine finely ground cookies, brown sugar, and a pinch of sea salt. Add vegan butter and mix until combined. Press the mixture into the prepared pan. Use the bottom of the measuring cup or glass to make sure it is tightly packed and even. Place it in the fridge while making the filling.
In a mixing bowl, mix with a hand mixer (or whisk) vegan cream cheese and sour cream until completely smooth. Add white sugar, vanilla extract or paste, cornstarch, lemon peel, and a pinch of sea salt. Mix until all combined.
Pour the filling into the pan with the cookie crust and smooth it on top. Cover the bottom of the pan with aluminum foil. Place the pan onto a baking tray and bake in preheated oven for 1 hour 15 minutes***.
Once baked, turn off the oven. Half-open the oven door and leave the cheesecake inside the oven for about 30 minutes. Then take off the aluminum foil. Place the pan on a cooling rack and let the cheesecake cool completely.
After the cheesecake cools down completely, place it in the fridge for at least 4 hours (preferably overnight) to set before removing from the pan.