Black English vs African American Vernacular English

Black English and African American Vernacular English both are nouns.

Word	Noun	Adjective	Verb	Adverb
Black English	Yes	No	No	No
African American Vernacular English	Yes	No	No	No

As nouns, Black English and African American Vernacular English are synonyms defined as:

Black English and African American Vernacular English: a nonstandard form of American English characteristically spoken by African Americans in the United States

Black English (noun)	African American Vernacular English (noun)
a nonstandard form of American English characteristically spoken by African Americans in the United States	a nonstandard form of American English characteristically spoken by African Americans in the United States