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curve #3457

y² + xy = x³ − 30023595887x + 2002298360220601

a-invariants: [1, 0, 0, -30023595887, 2002298360220601]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/3ℤ
conductor (N): 7323725565118
discriminant (Δ): 102400236820951958545015537664
Faltings height: 4.6580
naive height: 83.9894
primes of bad reduction: 2, 31, 47, 61, 127, 439, 739
regulator: 2527.7908083700322282225077255426992050316662577725
submitted by: Michael Rubinstein
submitted at: 2026-09-27 05:38:12 UTC
last updated: 2026-09-27 05:38:12 UTC

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

(12230, 40452989)
(99462, 151805)
(889894/9, 14513935/27)
(2798954, 4672504337)
(99180, 352589)
(1044350, 1052893901)

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 05:38:12 UTC · history

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