Every fingering that fits a hand
8765
hard
8aaa
hard
x335
moderate · barre · no 5
87aa
hard · no 5
87ax
easy · no 5
What is true of it
E♭maj7 is E♭, G, B♭ and D — 1, 3, 5 and 7 counted from E♭.
On an instrument that cannot reach all 4, the 5 goes first, in that order.
The easiest of the 5 fingerings below is 8765: 4 fingers, held at the 5th fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
1 of the 5 need a barre.
Where its notes are on the neck
The brass dots are E♭, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
E♭maj7/G
0365
E♭maj7/B♭
3335
E♭maj7/D
7766
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.