Answer: Congratulations on having such a decent score after your bankruptcy (over 650 is considered fair credit). I cannot estimate your interest rate but I can give you details of some lending programs. First, a credit score of 610 with a mortgage paid up to date on the credit report may qualify for an incentive rate through one of the manufacturers. It's unlikely; however, that a score of 610 would qualify for the best rate that the manufacturer offers. Second, some lenders have "Bankruptcy Programs" their rates normally range from 15.95% to 22.95% and are designed for people with lower scores. Third, the rate is based on the year of the car, the mileage of the car, the equity position of the loan, time on job, debt ratio, and payment to income ratio. Finally, a 610 credit score is considered marginal, even with a bankruptcy. Most marginal credit programs range in rate from 12.95% to 16.95%, which is what I would estimate for the criteria described.
Answer: It's impossible to determine what rate you would be offered based on credit score alone. Interest rates vary and are based on a few factors. The year and mileage of the vehicle, the equity position of the loan, and your credit score. 586 is considered sub-prime credit, I would expect a rate in the teens unless you otherwise qualify for a special incentivised program.