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curve #1238

y² = x³ + x² − 260798145x + 1591289568639

a-invariants: [0, 1, 0, -260798145, 1591289568639]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/2ℤ
conductor (N): 346380225216
discriminant (Δ): 41224120252049546681352192
Faltings height: 3.7047
naive height: 69.7514
primes of bad reduction: 2, 3, 23, 41, 73, 359
regulator: 214.25441993430010761346852635499181156187324611099
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:37:41 UTC
last updated: 2026-09-24 14:37:41 UTC

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

(-8241, 1783512)
(7215, 292008)
(7905, 154008)
(13839, 795432)
(21567, 2449224)
(259239/25, 5660712/125)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 14:37:41 UTC · history

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