The Connecticut Supreme Court heard oral arguments Tuesday morning on whether to allow a woman to discard a frozen embryo, created with her ex-husband’s sperm, now that the couple has divorced.

The former couple shares a young daughter. But in Bilbao v. Goodwin, the state’s high court heard from Jessica Bilbao’s attorney, who maintained the parties signed an agreement to discard a remaining embryo if the two divorced. It also heard from Timothy Goodwin’s counsel, who repeatedly told the judges that the embryo should have legal and protected rights.