  The Jupiter Trojans are a large group of asteroids that are co-orbiting with
Jupiter near its L4 and L5 Lagrange points. The study of Jupiter Trojans is
crucial for testing different models of planet formation that are directly
related to our understanding of solar system evolution. In this work, we select
known Jupiter Trojans listed by the Minor Planet Center (MPC) from the full six
years dataset (Y6) of the Dark Energy Survey (DES) to analyze their photometric
properties. The DES data allow us to study Jupiter Trojans with a fainter
magnitude limit than previous studies in a homogeneous survey with $griz$ band
measurements. We extract a final catalog of 573 unique Jupiter Trojans. Our
sample include 547 asteroids belonging to L5. This is one of the largest
analyzed samples for this group. By comparing with the data reported by other
surveys we found that the color distribution of L5 Trojans is similar to that
of L4 Trojans. We find that L5 Trojans' $g - i$ and $g - r$ colors become less
red with fainter absolute magnitudes, a trend also seen in L4 Trojans. Both the
L4 and L5 clouds consistently show such a color-size correlation over an
absolute magnitude range $11 < H < 18$. We also use DES colors to perform
taxonomic classifications. C and P-type asteroids outnumber D-type asteroids in
the L5 Trojans DES sample, which have diameters in the 5 - 20 km range. This is
consistent with the color-size correlation.

Earth and Planetary Astrophysics