Proton-neutron quasi-particle random phase approximation ( pn-QRPA ) theory has recently being used for calculation of stellar weak interaction rates of fp -shell nuclide with success . Neutrino losses from proto-neutron stars play a pivotal role to decide if these stars would be crushed into black holes or explode as supernovae . The product of abundance and positron capture rates on ^ { 55 } Co is substantial and as such can play a role in fine tuning of input parameters of simulation codes specially in the presupernova evolution . Recently we introduced our calculation of capture rates on ^ { 55 } Co , in a luxurious model space of 7 \hbar \omega , employing the pn-QRPA theory with a separable interaction . Simulators , however , may require these rates on a fine scale . Here we present for the first time an expanded calculation of the neutrino energy loss rates and positron capture rates on ^ { 55 } Co on an extensive temperature-density scale . These type of scale is appropriate for interpolation purposes and of greater utility for simulation codes . The pn-QRPA calculated neutrino energy loss rates are enhanced roughly up to two orders of magnitude compared with the large-scale shell model calculations and favor a lower entropy for the core of massive stars . PACS numbers : 21.60.Jz , 23.40.Bw , 26.30.Jk , 26.50.+x