Got this from the wiki. (https://chroniclesofelyria.gamepedia.com/FAQ/Game%26Engine)
Q. What sort of PC is required to play Chronicles of Elyria? Specific specs are not as yet known. However, it has been stated that if you can play ARK: Survival Evolved now, you are going to be safe to play Chronicles of Elyria, as they use the same game engine (Unreal Engine).[2]
Minimum Requirements (Estimated) :
Windows 7
1GB VRAM and DirectX 11 support
4GB RAM
2GHz Dual Core 64bit CPU
If you are looking for a laptop I would build higher than these requirements since the game is still in development and just from my experience no game is ever been optimized for the settings they advertise, at least not on the game very first launch.. Some thing could change and you may need a something a bit stronger or if you are not buying anything in the next 5 or 6 years after you buy that laptop I would push a bit higher just in case CoE has some updates down the line.