hydrocoryne (alga) hydrocoryne (alga) hydrocoryne is a genus of cyanobacteria belonging to the family nostocaceae. hydrocoryne scientific classification domain: bacteria phylum: cyanobacteria class: cyanophyceae order: nostocales family: nostocaceae genus: hydrocoryneh.schwabe ex bornet & flahault, 1886 species: hydrocoryne spongiosa schwabe ex bornet & flahault