I am looking for a way to find examples of elliptic curves that will have an order that I have been given. The field size cannot be equal to the given order and it needs to work for large numbers. Is it possible to have a generic calculation that could do that?
2026-03-31 14:25:00.1774967100
Finding any elliptic curve equation over any field based on order
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You can have a look at Section 4 in this paper by Holm for a couple of ways of doing this.