Every fingering that fits a hand
3111
moderate
311x
easy
3114
moderate
3564
hard
xa98
easy
What is true of it
A♯m is A♯, C♯ and E♯ — 1, b3 and 5 counted from A♯.
On an instrument that cannot reach all 3, the 5 goes first, in that order.
The easiest of the 5 fingerings below is 3111: 4 fingers, held at the 1st 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 A♯, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
A♯m/C♯
x111
A♯m/E♯
x564
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.