Board Thread:Skyrim/@comment-121.209.40.62-20130115131251/@comment-6881629-20150324095404

Without one of the bodys to dump it in or selling it to Calixto during the quest i don't think theres a way of getting rid of the Strange Amulet on a console. You could try a quest that removes you inventory like Diplomatic Immunity and No One Escapes Cidhna Mine (or just getting arrested) but i don't think i'll work.