Why does the Public Key Info field in an X509 certificate for EC indicate the algorithm

The Subject Public Key Info field can have a value like ECDSA_P256 or ECDH_P256 when ECC is used.
Why is it not sufficient to specify "ECC_P256"? In other words, why is it not enough to specify just the curve parameters (like pri… Continue reading Why does the Public Key Info field in an X509 certificate for EC indicate the algorithm