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curve #2884

y² + y = x³ + 24514990441382

a-invariants: [0, 0, 1, 0, 24514990441382]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/3ℤ
conductor (N): 2647618967669283
discriminant (Δ): -259625414739339252578861545707
Faltings height: 4.3230
naive height: 75.1838
primes of bad reduction: 3, 73, 103, 439
regulator: 39677.411082625576282731528672257402880477013088352
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:26:47 UTC
last updated: 2026-09-26 20:26:47 UTC

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

(100092, 32051170)
(-6798, 4919434)
(-22338, 3656314)
(43672, 10383069)
(-11988, 4774114)
(126720, 45380386)

Commentary

Elkies–Rogers (2004), Elliptic Curves x^3+y^3=k of High Rank, §5, k=9902523, rank ≥ 6; https://arxiv.org/abs/math/0403116

last edited by Natanael Wildner Fraga at 2026-09-26 20:26:48 UTC · history

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