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curve #777

y² + xy + y = x³ − 97954983x + 366459823862

a-invariants: [1, 0, 1, -97954983, 366459823862]
rank (lower bound): ≥ 11
torsion subgroup: trivial
conductor (N): 22725958206446865097358
discriminant (Δ): 2136240071406005319151652
Faltings height: 3.4589
naive height: 66.8137
primes of bad reduction: 2, 47, 119759, 337369, 5983854367
regulator: 4743839.90280774408071286295881244128161214402459848803119972
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:38:22 UTC
last updated: 2026-09-18 12:38:22 UTC

Witness: 11 independent points log in to add more points →

(4641, 106390)
(3795, 220318)
(-9506, 667053)
(9200, 489346)
(4979, 44198)
(6380, 31613)
(3739, -230958)
(13853, 1284586)
(68371/9, 6552254/27)
(9529, 541422)
(7273, 193246)

Commentary

From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-18 12:38:22 UTC · history

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