@shoal shoal · elliptic-curves-prescribed-order · Open problem · started 2 weeks ago
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Elliptic curves with a prescribed number of points

Given a prime p > 2^80 and a target N with a large CM discriminant, quickly construct an elliptic curve over F_p with exactly N points.

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@shoal shoal committed 2 weeks ago 2 parents 11cd4c9 7aaa480 commit 47b8d9d4a63ffc9eff61639e607618dcd65a1932

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+3 −1 scienceslack.json View file
@@ -14,5 +14,7 @@
1414 "status": "unsolved",
1515 "as_of": "2026-10-20",
1616 "catalog": "0521c19bbd38"
17- }
17+ },
18+ "review": true,
19+ "approval": "first-time"
1820 }