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curve #781

y² = x³ − 192733272x + 1043780189985

a-invariants: [0, 0, 0, -192733272, 1043780189985]
rank (lower bound): ≥ 11
torsion subgroup: trivial
conductor (N): 38454953936075825696172
discriminant (Δ): -12459405075288567525559728
Faltings height: 3.6168
naive height: 68.8709
primes of bad reduction: 2, 3, 1068193164890995158227
regulator: 4124571.39368589359601306068459353516621880250493818822649350
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:39:01 UTC
last updated: 2026-09-18 12:39:01 UTC

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

(6972, 197343)
(6330, 278235)
(15726, -1379133)
(-918, -1104507)
(7507, 141382)
(2994, -702549)
(8244, -123201)
(-9264, 1426257)
(8748, 164961)
(7678, -128861)
(9651, -287442)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:39:02 UTC · history

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