Good cheap laptop for minecraft?

Looking for a new laptop to run minecraft smoothly. I have a dell one at the moment and it's just so laggy. My budget is 500-600 euros. I'm 16 so can't really go over that… I was looking at the lenovo G710 http://shop.lenovo.com/...tech_specs, do you think this would run mincraft without lag? Oh and I will b playing online minecraft too!

specs:
Processor: Intel® Core™ i3-4000M Processor

Operating System: Windows 8

Memory: Up to 16GB DDR3 1600 MHz, 2 SODIMM slots (1 x 2GB / 2 x 2GB / 1 x 4GB / 1 x 2GB + 1 x 4 GB / 2 x 4GB / 1 x 8GB / 2 x 8GB)

Hard Disk Drive: Up to 1TB HDD storage

Graphic: Up to NVIDIA® GeForce® GT 720M 2GB graphics

thanks.

Added (1). http://shop.lenovo.com/...tech_specs or this one?

Added (2). Orrr this one http://shop.lenovo.com/...ries/z510/

It Seems quite good, It is also obviously good enough to play minecraft
Regards

Thats weak sauce but it will work