Every fingering that fits a hand
2040
easy · no 5
2043
easy · no 5
204x
easy · no 5
2443
moderate
x98b
easy · no 5
What is true of it
Am(maj7) is A, C, E and G♯ — 1, b3, 5 and 7 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 2040: 2 fingers, held at the 2nd 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.
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
Am(maj7)/C
x040
Am(maj7)/E
998b
Am(maj7)/G♯
1000
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.
A in other shapes
Cm(maj7)C♯m(maj7)D♭m(maj7)Dm(maj7)D♯m(maj7)E♭m(maj7)Em(maj7)Fm(maj7)all 374