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Apr 16 at 15:04 history edited Joe Silverman CC BY-SA 4.0
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Apr 16 at 15:02 comment added Joe Silverman @WillSawin As you say, the posed question is answered by Case 1, but I thought that it was worth giving all three cases so that one can see the contrasting situations.
Apr 16 at 14:34 comment added Will Sawin The question is about generic elliptic curves, which are never defined over finite fields, so only the first case appears.
Apr 16 at 14:27 history answered Joe Silverman CC BY-SA 4.0