The State Probate System publishes forms needed to file with the Court.  The forms may be obtained by calling or visiting the Probate Court, but common forms are available in a "Fillable" format via Internet download.

Common Forms  (Click to view and Download)

In a Decedent's Estate current law generally requires the filing of a Connecticut State Tax Return. 
Go to the CT Department of Revenue Services for Estate Tax Forms and Information.