Elamitic language vs Elamite language

Elamitic language and Elamite language both are nouns.

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

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

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

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

Elamitic language (noun)	Elamite language (noun)
an extinct ancient language of unknown affinities; spoken by the Elamites	an extinct ancient language of unknown affinities; spoken by the Elamites