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curve #1558

y² + xy = x³ − 43017798186790x + 98125192621178032100

a-invariants: [1, 0, 0, -43017798186790, 98125192621178032100]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/7ℤ
conductor (N): 5712560490
discriminant (Δ): 935233729994077257313513019180482560000000
Faltings height: 6.7880
naive height: 105.7915
primes of bad reduction: 2, 3, 5, 7, 13, 17, 83, 1483
regulator: 19.527777789997487075685044292064542437894745
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:05:27 UTC
last updated: 2026-09-25 01:05:27 UTC

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

(-1687168, 12881094422)
(13436780, 44107628810)
(6593260, -10058831990)

Commentary

Torsion Z/7. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 01:05:28 UTC · history

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