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curve #2038

y² + xy + y = x³ − x² − 102379814996x + 12509767707233046

a-invariants: [1, -1, 1, -102379814996, 12509767707233046]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 33400306665873
discriminant (Δ): 1073591151485354808160780037716569
Faltings height: 5.1605
naive height: 87.6695
primes of bad reduction: 3, 7, 43, 109, 157, 193, 3733
regulator: 348153.83725250288428107365485091046017627154614644
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:06:05 UTC
last updated: 2026-09-26 05:06:05 UTC

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

(1112543/4, 594909699/8)
(192359363/484, -1982690824461/10648)
(203427, -10163766)
(3100439, 5429723880)
(42395523/49, 259179913362/343)
(72938243/289, -258107295918/4913)

Commentary

2-isogenous partner of curve#1697 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:49:35 UTC · history

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