I think their are a lots of answer for thumbnail, but I want to add some other URLs to get YouTube thumbnail very easily. I am just taking some text from Asaph's answer. Here are some URLs to get YouTube thumbnails:
https://ytimg.googleusercontent.com/vi/<insert-youtube-video-id-here>/default.jpg
For the high quality version of the thumbnail use a URL similar to this:
https://ytimg.googleusercontent.com/vi/<insert-youtube-video-id-here>/hqdefault.jpg
There is also a medium quality version of the thumbnail, using a URL similar to the high quality:
https://ytimg.googleusercontent.com/vi/<insert-youtube-video-id-here>/mqdefault.jpg
For the standard definition version of the thumbnail, use a URL similar to this:
https://ytimg.googleusercontent.com/vi/<insert-youtube-video-id-here>/sddefault.jpg
For the maximum resolution version of the thumbnail use a URL similar to this:
https://ytimg.googleusercontent.com/vi/<insert-youtube-video-id-here>/maxresdefault.jpg