Conn. Gen. Stat. § 9-383

The time and place of meeting of a state or district convention shall be fixed by the state central committee or other authority of the party holding such convention, in accordance with the rules of such party; provided each such convention held to endorse candidates for state or district office to be voted upon at a state election shall be convened not earlier than the ninety-eighth day and closed not later than the seventy-seventh day preceding the day of the primary for such office.