curve #5546

y² + y = x³ + 16845878292979036720143013772248870228

a-invariants: [0, 0, 1, 0, 16845878292979036720143013772248870228]
c-invariants: [0, -14554838845133887726203563899223023877208]
rank (lower bound): ≥ 17
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 57421671713226472880035373365716817843569590002203716018539056992049
discriminant (Δ): -122594521879524515382783934235491798023070476283630235022624337429275977466363
Faltings height: 13.4708
naive height: 184.9575
primes of bad reduction: 3, 7, 37, 83, 103, 1140779163383462366684719459
regulator: 8238483362677021371.65021604801707795069026637378513261291316929971003206
submitted by: wgxli
submitted at: 2026-10-23 00:48:46 UTC
last updated: 2026-10-23 00:48:46 UTC

(-2523899932456, 876616710335977796)
(1391612175254, 4420503680224545756)
(1698112571764, 4662888852590680708)
(1698353486312, 4663112355603038907)
(2620415995898, 5902471883878063379)
(2743226983858, 6122864414387433715)
(3636967129744, 8059402568261980996)
(-1596175884338, 3574797527504973052)
(-1995657156188, 2982931333248569467)
(6405024010184, 16721474618352960836)
(11094167511364, 37179593167716400516)
(143890749401/4, 32835029921465763799/8)
(47691000104161/4, 330980435497089211829/8)
(-40880932242031/16, 26046767408020280729/64)
(211997232433273/36, 3211497492751888876799/216)
(838182318378217/16, 24267955254830671949653/64)
(682731037630369/100, 18305234484682006428403/1000)

Isogenous to curve#5545

last edited by Maksym Voznyy at 2026-10-23 01:33:50 UTC · history