Hi zenit,

The leaf and flower lead me to think you have a capsicum annuum there (others may differ). It's almost impossible to nail down what it is until you get ripe fruit. Even then, it can be difficult.

Post more pictures when it ripens up.

Bill

I could be wrong, but I think its Shishito Peppers. Shishito pepper is a type of japanese peppers. The end (the butt) of shishito peppers curl in like yours, but then, shishito peppers don't point upward, they hang downward just like most of the peppers. So just by this, I could be wrong thinking these are shishito...
I couldn't tell for sure just from these pictures, but the best way to identify them yourself is: shishito peppers are not hot at all, occasionally you might get one or two that are hot, but usually they are not hot at all. The fruit is long and skinny, the skin is wrinkle and not smooth like all other peppers. If your peppers grow up like how I described it here, then you got yourself some shishito peppers. They are great just stir fried in some olive oil then sprinkle some salt on them. GREAT for snacking.
Sorry if I am wrong identifying them.

It is almost impossible to identify to exact variety. Best you can probably get is species with several options as far as variety goes.

I agree with Bill, looks like an Annum.

kendra