In CA, it seems the minimum is $750 worth of damage to report the accident to the DMV.
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When you have a collision, report it to the DMV using the SR 1 form. You or your insurance agent, broker, or legal representative must complete the SR 1 report and send it to the DMV within 10 days if someone is injured (no matter how minor the injury) or killed or property damage is over $750. The SR 1 report is required in addition to any other report made to the police, CHP, or your insurance company.
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http://www.dmv.ca.gov/pubs/brochures...cts/ffdl16.htm
In your case though, since you didn't go through the insurance companies but did go through the dealership, they might still report it as damaged and it might still go to the carfax record. I know this wouldn't be the case if you went with an independent shop who is willing to overlook it but in your case, I am not sure.