What is true of it
Em7♭5 is E, G, B♭ and D — 1, b3, b5 and b7 counted from E.
These are also the notes of Gm6/E. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 1 fingering below is 9aaa: 4 fingers, held at the 9th 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
Em7♭5/G
0201
Em7♭5/B♭
3435
Em7♭5/D
7767
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.