Can my laptop run black ops 1?

It is a think pad Lenovo x201with intel r core i5 CPU with m520 @ 2.40 ghz with 4 gb ram. 64 bit

These are the system requirements of the game
CPU:Intel® Core™2 Duo E6600 or AMD Phenom™ X3 8750 or better
RAM:2 GB
OS:Windows® Vista / XP / 7
Video Card:Shader 3.0 or better 256MB NVIDIA® GeForce® 8600GT / ATI Radeon® X1950Pro or better
Free Disk Space:12 GB

So yes you can run it maybe at medium settings or even more

It depends on your graphics card. No matter how high your ram or cpu is, if you don't have a good graphics card, you can't run Balck Ops

http://www.systemrequirementslab.com/cyri

Just open this website, select the game to check whether it will run on your laptop or not.