HiCustomerand welcome to JustAnswer,
Does the car have the factory keyless entry?
Does the security indicator, left of the steering wheel, on the dash, stop blinking?
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You have an immobilizer system on that car. Do you have any other keys? Does the indicator light flash or go out when you stick the key in the car? Have you had the computer replaced recently?
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I am glad you got it going. You better double check because all corollas in 05 came with immobilizer chip keys. If the security light was flashing when you inserted the key there is something going on.