I typically suggest to get the CT 2-3 days out rather than at the time of admission.
Often, the pancreatitis patients are somewhat dehydrated when they hit the ED. 97% of the time you are going to get away with giving IV contrast in that setting, but it is certainly preferable have the patient nicely tuned up. Also, waiting a couple of days gives you an idea about pancreatic pseudocyst formation (as WBC pointed out, if the patient is in poor shape and you are concerned about necrosis or hemorrhage, an immediate CT can be helpful).
CT looks for complications of pancreatitis.
US, MRCP and ERCP look for causes of pancreatitis.
All have a role to play, rarely in the ED setting.