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curve #1531

y² + y = x³ + x² + 18999040x − 4253978236

a-invariants: [0, 1, 1, 18999040, -4253978236]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/5ℤ
conductor (N): 12583365
discriminant (Δ): -446750349577679091796875
Faltings height: 3.2274
naive height: 61.8933
primes of bad reduction: 3, 5, 31, 27061
regulator: 32.582587871670513379677205821001743505049301
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:50:50 UTC
last updated: 2026-09-25 00:50:50 UTC

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

(253, 23854)
(346, 48592)
(286, 34687)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:50:50 UTC · history

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