Deleting custom object data cards

Hello,

I am trying to delete a data card in a custom object.

I have the ID for the data card from a search to the Bulk API. Now I want to be able to delete it.

I am able to accomplish deleting a contact using a delete call to:" /API/rest/1.0/data/contact/[id]".

I am also able to get a list of all of the data cards in the custom object by using a get call on: "/API/rest/1.0/data/customObjects/[parent id]".

I am unable to filter from there to get and delete the exact data card I need.

When I try to send a delete call to: "/API/rest/1.0/data/customObjects/[data card id]" I get a 404 Not Found.

Can you help my find the URI I need to call in order to delete a custom object data card, or if it is not possible to do this with the rest API can you point me in the right direction of how to so this with a different API?

Thanks