carp vs cyprinid fish

carp and cyprinid fish both are nouns.

Word	Noun	Adjective	Verb	Adverb
carp	Yes	No	Yes	No
cyprinid fish	Yes	No	No	No

As nouns, cyprinid fish is a hypernym of carp; that is, cyprinid fish is a word with a broader meaning than carp:

carp: any of various freshwater fish of the family Cyprinidae
cyprinid fish: soft-finned mainly freshwater fishes typically having toothless jaws and cycloid scales

Other hypernyms of carp include cyprinid.

carp (noun)	cyprinid fish (noun)
any of various freshwater fish of the family Cyprinidae	soft-finned mainly freshwater fishes typically having toothless jaws and cycloid scales
the lean flesh of a fish that is often farmed; can be baked or braised

carp (verb)	cyprinid fish (verb)
raise trivial objections