def storyCoreNlpList(self, story_id_list):
        return self._queryForJson(self.V2_API_URL+'stories/corenlp',
            {'stories_id': story_id_list} )
The stories/corenlp call takes as many stories_id= parameters as you want to pass it, 
dataset/ETHPy150Open c4fcm/MediaCloud-API-Client/mediacloud/api.py/MediaCloud.storyCoreNlpList