Given two elliptic curves, it is hard to calculate an isogeny of large degree between them. Does this only apply to supersingular isogenies or to ordinary ones as well? Additionally, is the mapping injective? What is the hardness of this problem?

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    $\begingroup$ 1) It depends. 2) No. 3) What mapping? 4) It depends. This question is very vague. Please consider doing your own research and improving your question with precise definitions and pointers to the literature. "hard" and "easy" are imprecise concepts that have no place in a formal security definition. $\endgroup$ – Luca De Feo Apr 21 at 14:44

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