Every fingering that fits a hand
2130
open · no 5
2434
moderate
213x
easy · no 5
2134
hard · no 5
x99a
moderate · barre · no 5
What is true of it
A7 is A, C♯, E and G — 1, 3, 5 and b7 counted from A.
On an instrument that cannot reach all 4, the 5 goes first, in that order.
The easiest of the 5 fingerings below is 2130: 3 fingers, held at the 1st fret.
1 of them use open strings, which is what makes a shape quiet to change to.
1 of the 5 need a barre.
It leaves out the 5. 4 strings cannot carry 4 notes, and the 5 is the one this chord can lose without changing what it is.
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
A7/C♯
x130
A7/E
999a
A7/G
0100
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.