1Bring a large pot of salted water to a boil. Add the lobsters and cook for 8-10 minutes until they turn bright red. Remove the lobsters and let them cool.
Once cooled, remove the meat from the shells and set aside. Reserve the shells.
In a large pot, melt the butter over medium heat. Add the flour and cook, stirring constantly, for about 2 minutes to form a roux.
Slowly whisk in the dry white wine and seafood stock. Bring to a simmer and cook for about 10 minutes until slightly thickened.
Add the reserved lobster shells to the pot and simmer for another 15 minutes to infuse the flavor.
Remove the shells and discard them. Stir in the heavy cream and tomato paste. Simmer for another 5 minutes.
Add the lobster meat and chopped fresh tarragon. Season with salt and pepper to taste.
Use an immersion blender to puree the bisque until smooth. Alternatively, you can transfer the bisque to a blender in batches and blend until smooth.
Serve the lobster bisque hot, garnished with additional tarragon if desired.