Elephant is owned by Welsh insurance group, Admiral Group.
Admiral is listed on the London Stock Exchange and a constituent of the FTSE 100 Index.
Admiral also owns the price comparison website Confused.com, as well as insurance brands Diamond and Bell.
The Elephant brand was the UK's first online-only car insurance provider. It also offers motorbike insurance, but van drivers will have to ask its sister brand Admiral for a quote instead.
It used to sell travel insurance too, but this is no longer available for new customers.