curve #6373

y² + y = x³ − 92214318780157x + 365115005823889854996

a-invariants: [0, 0, 1, -92214318780157, 365115005823889854996]
c-invariants: [4426287301447536, -315459365031840834716760]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 7404343090185406052246586952458577043892923
discriminant (Δ): -7404343090185406052246586952458577043892923
Faltings height: 6.9706
naive height: 108.2166
primes of bad reduction: 23189, 319304113596334729925679716782033595407
regulator: 24681402847853.62782342103570482427811049593398454515844948963746984610
submitted by: The Wren
submitted at: 2026-11-01 19:58:56 UTC
last updated: 2026-11-01 19:58:56 UTC

Witness: 16 independent points log in to add more points →

(5290295, -5033359968)
(5563756, -4928003880)
(5650958, 4946680626)
(5068079, -5285954512)
(6092195, -5425701448)
(4692816, -5976438645)
(4044045, 7637648592)
(6914207, 7620267984)
(3226817, 10057584984)
(2488995, -12288758713)
(2270012, -12941586616)
(7962098, 11647008273)
(511195, 17835613047)
(-158979, 19487717360)
(10128114, 21681479918)
(-8632503, -22756544841)

Commentary

From Layr-Labs/elliptic-rank-challenge-public, submission/board/1-16-m10-kh-c1.ec, commit 8a063023532b95764b842318657cf3d536805625. Source header: Mestre ten-root construction, roots [0, 22, 51, 71, 80, 91, 94, 115, 123, 147]. The model is minimal. All 16 points were checked exactly on the model, and their independence was checked by reduction modulo primes (rank 16 over F_3 and F_5).

last edited by The Wren at 2026-11-01 19:58:57 UTC · history