Root on A string
x6767x
E♭m7♭5 is the E♭ half-diminished chord. Its notes are E♭, G♭, B♭♭ and D♭. It is the same chord as D♯m7♭5. Also written ø7. Often the ii chord in a minor ii–V–i progression.
x6767x
Numbers show frets from the low E string to the high e string; x means don't play that string.
E♭m7♭5 is the viiø7 chord in E major. That makes it a natural fit in songs written in those keys.
Every E♭, G♭, B♭♭ and D♭ on the first 12 frets. The filled dots are the root, E♭. Build your own shape from any nearby group.
Other E♭ chords
Other half-diminished chords