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1
Bring a large pot of water to a boil.
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2
Add salt, then add the lobsters head first and cook them until red all over, about 5 minutes.
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3
Transfer the lobsters to a large bowl and let cool to room temperature.
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4
Twist off the tails and claws.
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5
Using scissors, cut down the backs of the tails and remove the tail meat; then remove the intestinal veins.
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6
Crack the claws and knuckles and remove the meat.
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7
Slice the lobster tails crosswise 1/4 inch thick and coarsely chop the claw and knuckle meat; cover and refrigerate.
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8
Tear the heads into large pieces and reserve with the other shells.
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9
Heat 1/4 cup of the olive oil in a large saucepan.
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10
Add all of the reserved lobster shells and cook over moderately high heat, stirring occasionally, until they start to brown, about 8 minutes.
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11
Add the fennel stalks, leek, garlic, shallot and 1/2 teaspoon of salt.
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12
Cook, stirring, for 2 minutes.
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13
Add the tomato paste and cook, stirring, for 2 minutes.
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14
Add the wine and stir to scrape up the browned bits on the bottom.
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15
Add the water, parsley and mint sprigs to the saucepan and bring to a boil.
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16
Skim the foam off the surface and simmer over moderately low heat for 40 minutes.
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17
Strain the stock, leaving the red layer of oil on top.
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18
Wipe out the saucepan and return the stock to the pan.
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19
Boil over high heat until reduced to 1 cup, about 12 minutes.
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20
Bring a large pot of salted water to a boil.
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21
Put the fava beans into a small colander or strainer that fits into the pot.
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22
Lower the favas into the boiling water and cook until just tender, about 3 minutes; remove.
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23
Add the farfalle to the pot and cook until al dente; drain.
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24
In the same pot, heat the remaining 2 tablespoons of olive oil.
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25
Add the peas and favas and warm over moderately high heat for 2 minutes.
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26
Add the lobster meat and reduced stock and bring to a simmer.
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27
Stir in the farfalle, then the butter to blend and thicken the sauce.
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28
Season with salt and spoon the pasta into bowls.
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29
Top with the mint leaves and nasturtiums and serve.