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curve #3439

y² + y = x³ + x² − 925753397x + 10841851921227

a-invariants: [0, 1, 1, -925753397, 10841851921227]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/3ℤ
conductor (N): 3524484976529
discriminant (Δ): -5787045894226598113927771
Faltings height: 3.8077
naive height: 73.5521
primes of bad reduction: 11, 19, 31, 37, 103, 349, 409
regulator: 3101.3689184833944120105594932137079200126063684544
submitted by: Michael Rubinstein
submitted at: 2026-09-27 05:33:49 UTC
last updated: 2026-09-27 05:33:49 UTC

Witness: 6 independent points log in to add more points →

(17407, 44159)
(-108715/4, 31926803/8)
(70093/4, 213927/8)
(628357/36, 7715699/216)
(4667953/256, 640184873/4096)
(17693, 38296)

Commentary

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

last edited by Michael Rubinstein at 2026-09-27 05:33:49 UTC · history

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