I read E, G#, C, A with Ab in bass as...

AbMaj7#5 or AmMaj7/G# or even Am/G#

It would be interesting to know the chord's context. A common progression that uses this chord is...

Am-Am/G#-Am/G-Am/F#-Dm/F-Dm

i.e. Am-AMaj7-Am7-Am6-Dm/F-Dm


MY SONGS...
Audiophile BIAB 2025