Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Madison is a passenger rail station along the Shore Line East commuter railroad between Stamford and New London, Connecticut. Madison is also a station on the northern section of the Northeast Corridor. Amtrak does not stop at this station but Amtrak trains can often be seen passing this station. Prior to the establishment of the Shore Line East system, Madison was a stop for Amtrak's Beacon Hill trains, although this station was located on 60 State Street.