The Ovarian Cancer National Alliance says oral contraceptives can reduce women’s risk of deadly ovarian cancer by 50 percent. The Breast Cancer Prevention Institute claims that certain contraceptives significantly increase risks of breast and other cancers.

Those two organizations stand on opposite sides in two of the more than 80 amicus briefs filed by groups and individuals across the political, social, economic, religious and medical spectrums in the next U.S. Supreme Court showdown over the federal health insurance law.