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curve #1607

y² + xy + y = x³ − 3335276978x + 79600915582256

a-invariants: [1, 0, 1, -3335276978, 79600915582256]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/6ℤ
conductor (N): 1284397530
discriminant (Δ): -362783974839743284671306937500
Faltings height: 4.4157
naive height: 77.5392
primes of bad reduction: 2, 3, 5, 13, 19, 29, 43, 139
regulator: 22.63509314857199173924054649591049147975956927
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:29:55 UTC
last updated: 2026-09-25 01:29:55 UTC

Witness: 4 independent points log in to add more points →

(-55185, 9805087)
(-59970, 8026372)
(178035, 71527267)
(35730, 2440972)

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 01:29:55 UTC · history

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