What is true of it
Fm7♭5 is F, A♭, C♭ and E♭ — 1, b3, b5 and b7 counted from F.
These are also the notes of A♭m6/F and G♯m6/F. 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 abbb: 4 fingers, held at the 10th 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 F, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Fm7♭5/A♭
1312
Fm7♭5/C♭
4546
Fm7♭5/E♭
8878
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.