@AYUBALLENA I was thinking about this subject after I commented.
The En Passant Mate is not specific enough to be given a name like The Box Mate, for example.
Now, there will be some people that will argue this point by saying that it already has a name so of course it is a named mating motif, but they can't show it in a very skeletal form like every other mate because with the En Passant move it is often not a forcing move. A named mating pattern will have a clear photo finish.
Take the Morphy Mate or Pillsbury Mate for example, they are similar because they use the same pieces and there is a clear finish that you can demonstrate with only 6 or 7 pieces on the board, total.
Now trying constructing a mate that comes at the end of a forced combination with the finishing move being En Passant with only 6 or 7 pieces on the board.
The rarest mating patterns are ones like The Fool's Mate or Scholars Mate for me because I'm not playing beginners. For a novice vs novice they might see this a lot more.
For me rare mating patterns are ones like Suffocation Mate, Legal Mate, Reti Mate, Two Knights Mate, Blackburne Mate, Knight+ Bishop Mate, Max Lange Mate, Boden Mate, David + Goliath Mate, Corner Mate...not necessarily in that order, and the fore mentioned mates like Morphy, Pillsbury, Swallows Tail, Epaulette etc.
It is much easier to give example of the most common mating patterns that can perhaps be discussed in a new post because it gets off track here.