TOKYO — A large North Korean fishing trawler collided with a Japanese patrol ship within Japan’s exclusive economic zone on Monday, throwing dozens of North Korean crew members overboard and drawing renewed warnings from Tokyo about illegal fishing in its waters.

According to Japan’s Coast Guard, the North Korean fishing boat struck a patrol ship for the Japanese fisheries agency on Monday morning in the sea between Japan and the Korean Peninsula, about 220 miles northwest of the Noto Peninsula in central Japan.

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About 60 members of the fishing crew were rescued, the Coast Guard said, adding that all of the North Koreans were believed to be accounted for. The fishing ship sank about 15 minutes after the collision.

The episode came less than a week after North Korea launched a missile that landed off Japan’s coast, also in its exclusive economic zone. Japan has tried to engage North Korea in talks on its nuclear program, but has so far been rebuffed.