The Crown has alleged that Neil and Te Whetu caused the death of their son after failing to perform legal duties as parents to provide the necessaries [of life] and take reasonable steps to protect him from injury.
But the Crown alleges Parangi failed in her duty as a caregiver acting in place of the child's parents to fulfil her legal duties towards the child.
Lawyers for Neil and Te Whetu asked for more time to go through the Crown disclosure before entering pleas to the charges.
But Justice Timothy Brewer declined the request, and entered not guilty pleas for all three defendants.
Justice Brewer also set down a two-week jury trial which will begin in the Hamilton High Court on May 15, 2017.
The defendants were further remanded on bail to next appear at a case review hearing in the High Court at Rotorua on August 17.