One possible point of contention between you and your child's other parent is who gets to claim the child on future income tax returns. Even if you are the non-custodial parent, there is a possibility that you legally have the right to claim your child and receive the tax credits associated with doing so.
Who Normally Claims the Child?
The parent who provides at least 50 percent of the financial support for a child is usually one that has the right to claim the child at the end of the tax year.