Elamite language vs Elamite

Elamite language and Elamite both are nouns.

Word	Noun	Adjective	Verb	Adverb
Elamite language	Yes	No	No	No
Elamite	Yes	No	No	No

As nouns, Elamite language and Elamite are synonyms defined as:

Elamite language and Elamite: an extinct ancient language of unknown affinities; spoken by the Elamites

Other synonyms of Elamite language include Elamitic, Elamitic language, Susian, Susian language.

Elamite language (noun)	Elamite (noun)
an extinct ancient language of unknown affinities; spoken by the Elamites	an extinct ancient language of unknown affinities; spoken by the Elamites
	a member of an ancient warlike people living in Elam east of Babylonia as early as 3000 BC