You can get all of the discounts on your auto insurance policy as you are allowed. For example, if you have multiple policies with the same insurance company (i.e., car insurance and homeowners insurance), you are normally entitled to a discount. You can also oftentimes get discounts if you have completed defensive driving classes, are a member of a particular association (your college, a professional organization or even your employer), are a good student or have been a good (loyal) customer for longer than a year. The bottom line, ask your insurance agent for all the discounts that you might be entitled to.
First improve your credit history. If you have credit problems, your automobile insurance premiums are likely higher than someone with good credit.