Conn. Gen. Stat. § 52-407ee: Application for judicial relief.

(a) Except as otherwise provided in section 52-407bbb, an application for judicial relief under sections 52-407aa to 52-407eee, inclusive, shall be made by motion to the court and heard in the manner provided by law or rule of court for making and hearing motions.

(b) Unless a civil action involving the agreement to arbitrate is pending, notice of an initial motion to the court under sections 52-407aa to 52-407eee, inclusive, must be served in the manner provided by law for the service of a summons in a civil action. Otherwise, notice of the motion must be given in the manner provided by law or rule of court for serving motions in pending cases.