The question of whether the Sun is peculiar within the class of solar-type stars has been the subject of active investigation over the past three decades . Although several solar twins have been found with stellar parameters similar to those of the Sun ( albeit in a range of Li abundances and with somewhat different compositions ) , their rotation periods are unknown , except for 18 Sco , which is younger than the Sun and with a rotation period shorter than solar . It is difficult to obtain rotation periods for stars of solar age from ground-based observations , as a low activity level imply a shallow rotational modulation of their light curves . CoRoT has provided space-based long time series from which the rotation periods of solar twins as old as the Sun could be estimated . Based on high S/N high resolution spectroscopic observations gathered at the Subaru Telescope , we show that the star CoRoT ID 102684698 is a somewhat evolved solar twin with a low Li abundance . Its rotation period is 29 \pm 5 days , compatible with its age ( 6.7 Gyr ) and low lithium content A _ { Li } < \sim  0.85 dex . Interestingly , our CoRoT solar twin seems to have enhanced abundances of the refractory elements with respect to the Sun , a typical characteristic of most nearby twins . With a magnitude V \simeq 14.1 ,  ID 102684698 is the first solar twin revealed by CoRoT , the farthest field solar twin so far known , and the only solar twin older than the Sun for which a rotation period has been determined .