Yes there is. Recall #A0J on Toyota's website for 2005-2008 Corolla and Matrix vehicles
Behind the glove box, remove the screw a the right of the glove box and pull gently.
The Engine Control Module (ECM) on a 2005 Toyota Corolla Matrix is located in the engine compartment. Specifically, it can be found on the driver's side, near the firewall, typically mounted against the side of the vehicle. It's often housed in a protective casing and may require removing some covers to access it.
behind glove box
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The 2005 Toyota Corolla has 16 valves.
Most likely your car needs to be driven for about 100-200 miles so that your ECM relearns the fuel trim settings. It will smooth out afterwards.
The 2005 Toyota Corolla has a 5-speed manual.
The 2005 Toyota Corolla is a gas-powered vehicle.
The curb weight of the 2005 Toyota Corolla is 2530 lbs..