This is a 13th century Chola (South Indian) bronze statue of Pārvatī. She is most often thought of as the spouse of Śiva but She is an independent goddess with a wide range of worship.
Her right hand in the elephant mudra - that is the gesture of the teacher for She teaches the other gods in the Upanishads and is the teacher in the nigāma tantras.
The other hand points downward to the earth - She manifests in all forms in this world. In Indian tradition, only a goddess may be portrayed nude because they reveal all.