I was wondering if I could play eve online with my laptop these are the specs core 2 duo t5550 1.83 ghz 3 gb ram 512 mb ati radeon mobile hd 2600 also classic or premium

Should easily be able to. I'm playing it on my PC with inferior specs, and I can run it on premium (At 30~35 fps). Though, it does also depend on your OS. I was running XP, which doesn't use nearly as much system resources as Vista. I'm not sure if you can use the premium graphics with Vista.