Put the sugar in a large bowl, and grate the zest of the lemon(s) over the sugar. Squeeze the lemon(s) to produce 3 tablespoons juice, and set this aside. Using your fingers, rub the sugar and zest together until the mixture is moist and aromatic. One at a time, add the eggs, whisking well after each. Whisk in the juice, followed by the heavy cream. Still using the whisk, gently stir the dry ingredients into the batter in two additions. Stir the vanilla into the melted butter, and then gradually blend the butter into the batter. The batter will be thick and have a beautiful sheen. Scrape it into the loaf pan.

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