NEW YORK — A New York City commuter train rounding a riverside curve derailed Sunday, killing four people and injuring more than 60 in a crash that threw passengers from the toppling cars and left a snaking chain of twisted wreckage just inches from the water.Some of the roughly 150 passengers on the early morning Metro-North train from Poughkeepsie to Manhattan were jolted from sleep around 7:20 a.m. to screams and the frightening sensation of their compartment rolling over on a bend in the Bronx where the Hudson and Harlem rivers meet. When the motion stopped, four or five of the seven cars had lurched off the rails. It was the latest accident in a troubled year for the nation’s second-biggest commuter railroad, which had never experienced a passenger death in an accident in its 31-year-history.“Four people lost their lives today in the holiday season, right after Thanksgiving,” Gov. Andrew Cuomo said at a news conference. Eleven of the injured were believed to be critically injured and another six seriously hurt, according to the Fire Department.The train operator was among the injured, Cuomo said.The governor said the track did not appear to be faulty, leaving speed as a possible culprit for the crash. But he noted that the National Transportation Safety Board would determine what happened.The agency planned a news briefing later Sunday. The Federal Railroad Administration was also sending 10 investigators to the scene.Metropolitan Transportation Authority Chairman Thomas F. Prendergast said investigators would look at numerous factors, including the train, the track and signal system, the operators and speed.