@olhl.animal.photography, the females of most species of eclectus are different in appearance to each over, but with the males I try to look at eye colour and beak colour.
@Dr. Loxodonta In that case this looks somewhat more like a Sumba eclectus (E. cornelia) or Tanimbar eclectus (E. riedeli) but it's probably best to leave it at Eclectus sp.
@Dr. Loxodonta ah thanks! That makes sense. I know the for each species, both sexes are different (dimorphic) but didn’t know how to cross-compare species. Thank you.
Males are generally difficult to impossible to tell apart unless one is extremely familiar with (all of!) the different taxa. The only exception is riedeli - of which the one in the photo absolutely isn't one - because it lacks red on the flanks. You can't effectively tell them apart by "eye colour and beak colour", especially because the colouration of both varies individually and with age, and also from various other captive factors like diet and sunlight. Also hybrids are very common, so if you have a photo of a unknown bird you don't even know if it is pure or not.