What is true of it
E♭dim7 is E♭, G♭, B♭♭ and D♭♭ — 1, b3, b5 and bb7 counted from E♭.
B♭♭ and D♭♭ are double flats, and they have to be: every letter from E♭ upwards is used once, so the b5 cannot be written any other way.
The easiest of the 1 fingering below is 8989: 3 fingers, one of them barring the 8th fret, held at the 8th 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.
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♭dim7/G♭
bcbc
E♭dim7/B♭♭
2323
E♭dim7/D♭♭
5320
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.