Clicking them here lists specific kernels, is that enough to tell you?

That's useful if you run a Debian-packaged kernel.

Searching around, the best I have found so far for vanilla kernels is: https://linuxcvetracker.com

It does require a little clicking around to get all the info I want though. Time to pull out curl+awk! :)

	▲	evgpbfhnr 2 hours ago \| parent [-]
		You can script around https://git.kernel.org/pub/scm/linux/security/vulns.git/ (which is likely what the page you linked use)