There is a transponder in the key that is “mated” to the immobilizer circuit in the car. You can probably have a new key blank cut for your old 451 key fob, then have the car reprogrammed to accept your old key fob. The dealer can do this (yuck) or a locksmith with good skills and the correct equipment can do this in minutes. It’s not always inexpensive, I think I paid $50 for cutting the blank and programming, but it’s far less than the dealer will charge!