Cut and save. Slice the kernels from 8 ears into a bowl and halve the cobs.
Make the corn stock. Simmer the cobs in 12 cups of water for 30 minutes, strain, and adjust to 8 cups by reducing or adding water.
Tie the sachet. Wrap the bay leaf, thyme, peppercorns, and coriander seeds in cheesecloth and tie it closed.
Sweat the vegetables. Melt 7 tablespoons of butter over medium-high heat and cook the onion, celery, leek, and garlic 4 to 5 minutes until tender.
Add the corn. Stir in the kernels and cook 6 to 7 minutes until bright and fragrant.
Simmer. Add the stock, sachet, and salt, simmer 20 minutes, then stir in the cream and heat 3 minutes.
Blend. Discard the sachet, puree in batches with the lid vented, strain through a fine sieve, and adjust the salt.
Chill and serve. Refrigerate until cold, about 3 hours. Brown the garnish kernels in 1 tablespoon of butter and serve over the soup with green onion and olive oil.