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You are missing the first Corolla chassis code to receive the 1zz-fe. The 98-02 Corollas have them: ZZE-110 is the chassis. The first 1zz-fe was Non-vvt-i and made 120/120 in the 98-99 Corollas. The VVT-i 1zz-fe arrived in the 2000 Corolla and made 125/125. THEN came the zze-112 chassis in 2003 with the newest 130hp version of the vvt-i 1zz-fe.
For people still confused about what engine will fit in what car, the GENERAL rule is if everything before the dash is the same, it should be a direct bolt if the drivetrain is the same (FWD, RWD etc.). (Example: 4a-ge from a AE92 Corolla is good to replace a 4a-fe in a AE92 Corolla)
If the engine series letter(s) before the dash are the same but the number is different, then the engine will physically fit in the car but will probably need custom mounts. (Example: 2zz-ge from 7th gen celica to replace 1zz-fe in an 8th gen corolla) Same if you want to use an engine from a different drivetrain. (Example 4a-gze from AW11 MR2 (midengine) will physically fit into a front or rwd corolla but will need custom engine mounts and driveshaft(s).
Hope that helps a little in addition to the great info provided above.
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