  The concordance genus of a knot is the least genus of any knot in its
concordance class. It is bounded above by the genus of the knot, and bounded
below by the slice genus, two well-studied invariants. In this paper we
consider the concordance genus of 11--crossing prime knots. This analysis
resolves the concordance genus of 533 of the 552 prime 11--crossing knots. The
appendix to the paper gives concordance diagrams for 59 knots found to be
concordant to knots of lower genus, including null-concordances for the 30
11--crossing knots known to be slice.
