The California Franchise Tax Board (FTB) doesn't have an extension request form.
The FTB waives certain penalties if the taxpayer meets the following payments criteria by the original due date of the return. If the taxpayer meets the criteria, the extension is automatic.
Form 3519 is a payment voucher only. The FTB doesn't accept or process Form 3519 without accompanying payment, and UltraTax CS only generates Form 3519 if there's a payment amount.
Since the criteria to waive certain penalties require the taxpayer to make certain payments by the original due date, and doesn't require a request, filing federal Form 4868 solely for California purposes is unnecessary and has no effect on the determination of penalties.
You can make payments online, via telephone, or electronic funds withdrawal.