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Sep 6, 2014 at 18:36 comment added Daniel Litt @FelipeVoloch: Yes, I'm making the Hasse invariant essentially; my only complaint is that your construction would for example let one single out the curve of $j$-invariant $5$, whereas the Hasse invariant is somewhat more canonical. Your answer is of course perfect for the question as stated.
Sep 6, 2014 at 18:23 comment added Felipe Voloch The Hasse invariant is a modular form of weight $p-1$ vanishing on the supersingular locus. This is basically what you are doing. The issue is the formulation of the question, really.
Sep 6, 2014 at 18:15 comment added Daniel Litt (I've ignored all twists by cusps here, which are necessary to make this correct, I think.)
Sep 6, 2014 at 18:13 history answered Daniel Litt CC BY-SA 3.0