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- W2949868757 abstract "We count the number of isogeny classes of Edwards curves over nite elds, answering a question recently posed by Rezaeian and Shparlinski. We also show that each isogeny class contains a complete Edwards curve, and that an Edwards curve is isogenous to an original Edwards curve over IFq if and only if its group order is divisible by 8 if q 1 (mod 4), and 16 if q 1 (mod 4). Furthermore, we give formulae for the proportion of d2 IFqnf0; 1g for which the Edwards curve Ed is complete or original, relative to the total number of d in each isogeny class." @default.
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- W2949868757 date "2011-01-01" @default.
- W2949868757 modified "2023-09-23" @default.
- W2949868757 title "On isogeny classes of Edwards curves over finite fields." @default.
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