Lsi Prizm?

LSi is the trim level that would be equivalent to a Corolla DX at that time - there are Prism GSi which are the sportier variants - though they tend to be harder to find. In that generation, 7th gen Corolla/Prism - they only had either the base or the LSi trim. You could spec a base Prism to have more options that a LSi trim - just depends on what that person ordered.

The only weird thing that I see is that LSi supposed come OEM with A/C and P/S. I would check your VIN as see what supposed to come with it or not. Very rare cases - something they save the A/C and P/S for a dealer installed option, so called port-side or dock-side installs (comes from the factory without those and supposed to installed afterwards). Also depends on where the car was intended to be sold (west coast, east cost, midwest, etc. - as I've seen some 7th gen Prism LSi come "standard" with A/C, P/S, PW and locks, ABS, 4-speed and the 7AFE - but those usually retail for $15K+. Other "standard" Prism LSi run around $12K, but also come with a lot less features. But if you have tilt-steering and a trunk passthrough - then I would say that you have the LSi trim (those did not come with the base).

The LSi trim had the 4AFE stock, the 7AFE was an upgrade option, 5-speed was standard on both trims, if you had an automatic - the base would be a 3-speed auto, LSi come with the 4-speed auto. Steel wheels are standard - but the LSi came with wheel covers, those were an option on the base Prisms.