I chose this piece for a couple of reasons: it is a good example of the mid-19th century violin concerto with its wealth of passion and expressivity. IMSLP does not have the full score, just a violin/piano arrangement. It begins like this with the minor dramatic mood so much in favor for 19th century concertos (which undoubtedly goes back to the Mozart D minor piano concerto):
Let's listen to a performance. This is Shlomo Mintz, Violin with the Sinfonieorchester des Südwestfunks (Southwest German Radio Symphony Orchestra) conducted by Myung-Whun Chung:
Hilary Hahn is just releasing a new recording pairing the 4th Violin Concerto of Vieuxtemps with the 5th Violin Concerto of Mozart. This is the kind of thing an artist of her stature tends to do: rather than recording the same popular works by the same composers, she introduces us sometimes to new composers as in her encore album, or to less known works by familiar composers, such as the Vieuxtemps 4th Concerto here. UPDATE: Alas, that one was taken down. Here is a different performance, also with Hahn:
Interesting piece. I think you can see why the 5th is popular. But the 4th is perhaps structurally more interesting with its contrasting moods and unconventional layout.