There are five surviving string quintets by Beethoven: Op.4, Op.29, Op.104, Op.137 and the unpublished Prelude and Fugue, H.40.
No one has recorded all five; the Endellion Quartet + one come closest with four.
You will need to buy an additional CD if you want them all.
Missing here is Opus 104, published in 1817, an arrangement of Beethoven's Piano Trio Op.1, No.3
Herr Kaufmann (first name unknown) arranged it as a quintet, then showed this work to Beethoven, who made further changes of his own.
Beethoven presented the Quintet, Op.104 to the publisher Artaria as his own work, and accepted payment for it, which qualifies it as a genuine Beethoven String Quintet.
The chain of possession was Beethoven - Kaufmann - Beethoven.
There is an excellent and inexpensive CD by the Fine Arts Quartet + one: Beethoven: String Quintets (String Quintet Op.29/ Op. 104/ Fugue In D)
Hess(H) 40 is a late Beethoven rarity. The only other recording of it was in the 85 CD Brilliant Classics box: Complete Beethoven Edition - or - Beethoven Edition: Complete Works (85CD Box Set), but it was unaccountably omitted from Brilliant Classics 2 CD set of "complete" Beethoven Quintets: Beethoven: String Quintets: (Box Set) - or - Beethoven String Quintets (Complete)
Endellion and Fine Arts duplicate Op.29 and Op.137
Endellion adds Op.4 and H.40
Fine Arts adds Op.104.
If you want all five Beethoven String Quintets, buying these two CDs is the easiest (and cheapest) way to get them.
At least for now.