There's no real list of jazz chords per se, but 7th chords (7, min7, maj7, etc) are commonly used in jazz.

To play a 7th chord, play the first, third, and fifth note of the scale (major chord) and add a flatted 7th to it.

The formula for a basic 7th chord is 1 3 5 b7

C major scale = C(1) D(2) E(3) F(4) G(5) A(6) B(7)
So, to make a C7 chord, play C E G and Bb

Formula for a maj7 chord is 1 3 5 7
Formula for min7 chord is 1 b3 5 b7
Formula for maj(min7) chord is 1 b3 5 7

You can usually also substitute 9th and higher (11th, 13th, etc.) chords for most 7th chords (9th chords are 7th chords with the 9th attached)

C7 = C E G Bb / C9 = C E G Bb D
Cmaj7 = C E G B / Cmaj9 = C E G B D
Cmin7 = C Eb G Bb / Cmin9 = C Eb G Bb
Cmin(maj7) = C Eb G B / Cmin(maj9) = C Eb G B D