Tables 6 lists the J,H,Ks photometry for the 68 kinematic members and 14 candidate members of the Rho Ophiuchi core from 2MASS or derived in this work together with the AllWISE (W1,W2,W3,W4) photometry. Column (1) provides identifications of the objects. Columns (2,4,6) presents the J,H,Ks photometry from 2MASS and columns (3,5,7) their associated standard errors; if predeceded by an asterisk the photometry was derived in this work. Columns (8, 10, 12) list AllWISE (w1,w2,w3,w4) photometry unless predeceded by an asterisk (WISE) and columns (9, 11, 13) the associated standard errors. Tables 7 Lists the 68 members and 14 candidate members, their astrometric solution and their membership probability. Column (1) provides identifications of the objects. Columns (2,3) present the J2000 Right ascension and Declination for the mean epochs given in columns (7,8) (in years) and column (4) the mean standard error on position (in mas). Columns (5,6) list the proper motions and internal standard errors (in mas/yr). Column (9) presents the 2MASS Ks photometry (*= this work), column (10) lists the number of different epochs of observations used for the derivation of proper motions, column (11) the time base of these observations and column (12) the membership probability. Tables 8 lists the evolutionary status of the 68 kinematic members and 14 candidate members. Columns (1) and (2) provide identifications of the objects. Column (3) list the (RA,DE) positions extracted from table 7, column (4) (status) lists the young stellar object status as given by CDS-Simbad and Column (5) (Class) the SED class of the object (classes preceded by an asterisk were assigned in this work). The corresponding references are given in Column (6) . In Column (7) we list the spectral type found in the litterature and in Col. (8) the references. Note . a: this object is classified as class II by Bontemps et al. (2001, Cat. J/A+A/372/173) but was classified as class III by our algorithm. b: this object is classified as class I by Bontemps et al. (2001, Cat. J/A+A/372/173) but was classified as class II by our algorithm. Note to all Tables. Objects not detected by 2MASS or WISE were searched in the 2MASS 6X (Cutri & IPAC/WISE Science Data Center Team 2012, Cat. VII/233) and the UKIDSS (Lawrence et al., 2007, Cat. II/319) catalogues and attributed their identificators. A local identificator (BXhhmmss.sss+dddmmss.ss) was attributed to the faintest source not found in these catalogues. (4 data files).