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curve #2879

y² + y = x³ + 150870037745972

a-invariants: [0, 0, 1, 0, 150870037745972]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/3ℤ
conductor (N): 1810440452951667
discriminant (Δ): -9833083901051511516517914236667
Faltings height: 4.6258
naive height: 78.8180
primes of bad reduction: 3, 17, 307, 523
regulator: 41471.796102536315258207558467265660478884971611707
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:26:33 UTC
last updated: 2026-09-26 20:26:33 UTC

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

(-37656, 9872932)
(86292, 28167835)
(187270, 81966083)
(-32058, 10859260)
(-39798, 9372019)
(236572, 115719195)

Commentary

Elkies–Rogers (2004), Elliptic Curves x^3+y^3=k of High Rank, §5, k=24565833, rank ≥ 6; https://arxiv.org/abs/math/0403116

last edited by Natanael Wildner Fraga at 2026-09-26 20:26:33 UTC · history

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