Kind of like asking "which is heavier, Love or Guilt?" append the phrase "in this particular encoded form" to "which has more entropy" and the question can be

Kind of like asking "which is heavier, Love or Guilt?" append the phrase "in this particular encoded form" to "which has more entropy" and the question can be answered; but the answer is determined by your choice of code. Pi can certainly be encoded in such a way as to take more space than all of english literature to date (and probably in the future). Or you could encode it in a numerical system based on Pi and represent it with a single symbol. Then your "entropy" in Pi is an artifact of how finely you're quantifying, which is still potentially infinite.