If you're looking for a set of track-only tires, I have got the set for you!
Silverstone S575 Tarmac rallye tyres
I've got a barely used set that I'm trying to sell. They have only been used for 1 lapping day. And it wasn't even a full day because I spent half of it parked with engine trouble.
You can get some info for them from this site:
http://www.motorsport-dist.com
What I can tell you about them is that they are incredible! Far better than any R-compound you can buy. They are pretty heat sensitive, they need to be nice and warm before they really stick well. But it only takes about 1 lap to get them up to the right temperature. Also, because they are designed for rallying, the progression from grip to slip is very gradual, which makes them VERY predictable, and VERY easy to drive. You can always feel exactly how much grip you have, which is alot.
They are currently mounted on a set of American Racing 4x100 rims, which will fit your Corolla.
Reply here, or email me:
wedge1@rogers.com if interested or have any other questions.