A curable composition containing a magenta pigment; a polymerizable compound; and a polymer including an amino group, where the polymer including the amino group has a weight average molecular weight of 1,000 or more, wherein the polymer including the amino group is at least one selected from the group consisting of hydroxyl group-including carboxylate ester, salts of a long-chain polyamino amide and acid ester having a high molecular weight, salts of polycarboxylic acid having a high molecular weight, salts of long-chain polyaminoamide and polar acid ester, unsaturated acid esters having a high molecular weight, modified polyurethanes, modified polyacrylates, polyether ester anionic surfactants, salts of naphthalenesulfonic acid formalin condensates, polyoxyethylene alkyl phosphoric acid ester, polyoxyethylene nonylphenylether, polyester polyamine, and stearylamine acetate.
Active-energy-ray-curable composition, active-energy-ray-curable ink, composition stored container, two-dimensional or three-dimensional image forming method, two-dimensional or three-dimensional image forming apparatus, and processed product