An encoder includes: circuitry; and memory coupled to the circuitry. The circuitry, in operation, stores a first parameter into a bitstream, the first parameter indicating, as a prediction mode, one of (i) a multiple prediction mode in which a prediction image is generated by overlapping an inter prediction image of a current block and an intra prediction image of the current block and (ii) one of a plurality of prediction modes including a non-rectangular mode in which a prediction image is generated for each non-rectangular partition in the current block, and encodes the current block according to the prediction mode.