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curve #1540

y² = x³ + x² − 11262740x + 14541852900

a-invariants: [0, 1, 0, -11262740, 14541852900]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/6ℤ
conductor (N): 2899380
discriminant (Δ): 34675935631137504000
Faltings height: 2.7431
naive height: 60.3246
primes of bad reduction: 2, 3, 5, 11, 23, 191
regulator: 12.130784301348493774376027164163524483604934
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:52:21 UTC
last updated: 2026-09-25 00:52:21 UTC

Witness: 3 independent points log in to add more points →

(-15275/4, 346665/8)
(-3365, 119790)
(-3860, 22770)

Commentary

Torsion Z/6. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:52:21 UTC · history

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