American eagle vs bird of Jove

American eagle and bird of Jove both are nouns.

Word	Noun	Adjective	Verb	Adverb
American eagle	Yes	No	No	No
bird of Jove	Yes	No	No	No

As nouns, bird of Jove is a hypernym of American eagle; that is, bird of Jove is a word with a broader meaning than American eagle:

American eagle: a large eagle of North America that has a white head and dark wings and body
bird of Jove: any of various large keen-sighted diurnal birds of prey noted for their broad wings and strong soaring flight

Other hypernyms of American eagle include eagle.

American eagle (noun)	bird of Jove (noun)
a large eagle of North America that has a white head and dark wings and body	any of various large keen-sighted diurnal birds of prey noted for their broad wings and strong soaring flight