'Cold-blooded' and 'warm-blooded' are obsolete terms. Nor are vertebrates one or the other; there is a spectrum of metabolic physiology from ectothermy, to mesothermy to endothermy. Reptiles are not all ectotherms (cold-blooded), either. This is most evident in birds, for which you already correctly state 'warm-blooded' (well, insofar as that relates to the correct term 'endothermic'). And, birds _are_ reptiles.