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curve #1545

y² + xy = x³ − x² − 2805622722x + 56938206624768

a-invariants: [1, -1, 0, -2805622722, 56938206624768]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/6ℤ
conductor (N): 7255206
discriminant (Δ): 12916834609971486781727882532
Faltings height: 4.2388
naive height: 76.8783
primes of bad reduction: 2, 3, 7, 71, 811
regulator: 55.745551019625090465942461728480857154221668
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:53:11 UTC
last updated: 2026-09-25 00:53:11 UTC

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

(67543, 13216497)
(52154088/3481, 876225297108/205379)
(-449519/25, 1260909706/125)

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 00:53:11 UTC · history

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