We have detected emission by the CO 5-4 and 6-5 rotational transitions at z = 5.7722 \pm 0.0006 from the host galaxy of the SDSS quasar J0927+2001 using the Plateau de Bure interferometer . The peak line flux density for the CO 5-4 line is 0.72 \pm 0.09 mJy , with a line FWHM = 610 \pm 110 km s ^ { -1 } . The implied molecular gas mass is ( 1.6 \pm 0.3 ) \times 10 ^ { 10 } M _ { \odot } . We also detect the 90 GHz continuum at 0.12 \pm 0.03 mJy , consistent with a 47K dust spectrum extrapolated from higher frequencies . J0927+2001 is the second example of a huge molecular gas reservoir within the host galaxy of a quasar within 1 Gyr of the big bang . Observations of J0927+2001 are consistent with a massive starburst coeval with a bright quasar phase in the galaxy , suggesting the rapid formation of both a super-massive black hole through accretion , and the stellar host spheroid , at a time close to the end of cosmic reionization .