Will you be using the GoPro CineForm (GoPro Studio) software to edit or some other editing program? These are the requirements to run GoPro Studio:
"Minimum System Requirements
Operating System
Windows® XP SP3, Vista, 7, 8
CPU
Intel® Core 2 Duo™
Recommended: Intel Quad Core™i7 or better
Graphics Card
Graphics card that supports OpenGL 1.2 or higher
RAM
4GB or greater
Hard Drive
Minimum: 5400 RPM internal drive
Recommended: 7200 RPM drive
If external, USB 3.0 or eSATA Minimum: 5400 RPM internal drive
QuickTime
Version 7.6 or greater
Note: For systems below the minimum hardware recommendations, performance may degrade, but software will most likely continue to function. GoPro Studio is not available for Linux, iOS or Android devices at this time.
It is highly recommended that you use the latest graphics drivers directly from the graphics card manufacturer."
Source:
http
/gopro.com/support/articles/what-are-the-minimum-system-requirements-for-gopro-studio
You might want to look at the Lenovo IdeaPad Y410p (http

/shop.lenovo.com/us/en/laptops/ideapad/y-series/y410p/?sb=:000001C9:0000ED9D

. It's not an ultrabook should do the job. Not sure if the processor is clocked down or not.