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curve #1337

y² + xy = x³ − 1483566759815x + 696274364523822217

a-invariants: [1, 0, 0, -1483566759815, 696274364523822217]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/3ℤ
conductor (N): 24699665118479890
discriminant (Δ): -454475335254317393070451241152000000
Faltings height: 5.7508
naive height: 95.6922
primes of bad reduction: 2, 5, 7, 11, 29, 41, 8629, 284227
regulator: 3457.879375794077493016625315790521113174603119733262
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:34:31 UTC
last updated: 2026-09-24 17:34:31 UTC

Witness: 7 independent points log in to add more points →

(704494, 27202973)
(-1152746, 935806053)
(-1382346, 325621093)
(858774, 235294213)
(1240414, 873777933)
(6799366/9, 2193386951/27)
(-1132656, 961581523)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:34:32 UTC · history

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