Place the eggs, heavy cream, salt and pepper in the blender and mix until very frothy, about 1 minute. Heat a saute pan over medium heat and, when hot, add the butter to the pan, swirling to coat. Pour the egg mixture into the pan. Using the rubber spatula, stir continuously and scrape down sides so as to evenly cook the mixture. Once the mixture resembles wet scrambled eggs, after about 30 seconds, use the rubber spatula to smooth the eggs so that they are an even depth throughout. Cook until almost set, about 10 seconds longer, and use the rubber spatula to fold the omelet in 1/2. Carefully slide the omelet out of the pan onto the plate.
*If you want a cheesy omelet, sprinkle grated cheese over top of the omelet just before folding in 1/2.