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Short answer: it is not. The Sage cell server at the given url is intended to be used for a single block of computation. Though it might contain several lines. And you can either - compute your object L as the first commands in your cell and then add the commands treating it further - if the size of L is small you can also input it manually in the cell

It is possible to run several cells in order to reuse previous computations. Though you would have to dig into the sagecell manual at https://github.com/sagemath/sagecell/blob/master/doc/embedding.rst and do a bit of javascript.

If you want to run longer computation, I suggest that you install Sage on your computer.