The properties of curves make certain protocols safe/unsafe in my opinion. For example some curve might be a good choice for BLS while being very bad for ECDSA.

The properties of curves make certain protocols safe/unsafe in my opinion. For example some curve might be a good choice for BLS while being very bad for ECDSA. Therefore the choice of the curve is really tied to the encryption/signature scheme I think. I am not an expert though. Contact the cryptographers they are really friendly (not a sarcasm)!