curve #3922

y² + xy + y = x³ − 3144973862166362104602744700575383x + 3765887419424822281159536519462373161738667627718

a-invariants: [1, 0, 1, -3144973862166362104602744700575383, 3765887419424822281159536519462373161738667627718]
c-invariants: [150958745383985381020931745627618361, -3253726730383046677359957628793561943139827271776109]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/3ℤ
conductor (N): 19354389455429330937293211628584826835990108126490
discriminant (Δ): 1984689290378972225845592102440692764007652527715524187808075705501134964278097261171254004493983062500
Faltings height: 18.3186
naive height: 243.0069
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 53, 71, 73, 149, 241, 307, 21991, 6003303611779906612093
regulator: 162285111367692.963395354757783504441443919868648113198486751
submitted by: Maksym Voznyy
submitted at: 2026-10-04 23:42:29 UTC
last updated: 2026-10-04 23:42:29 UTC

(234708157470230354352/2401, 2954050602930185653134194525773/117649)
(478255737405652427810363187261/2544685372849, 315773809763557725775662938186655370997798840/4059299919566334743)
(156293562762109626180429/755161, 59491187674420462177122434684049770/656234909)
(162054747146073650243349/1274641, -58613927378941441673061131464642280/1439069689)
(113471946568479644769/841, -1100402995484063530955017609450/24389)
(67181763729808701740073801/61889689, -549917321249529240542867450602677495800/486886183363)
(8991370656494540562798972722946/144178735428025, -12262565841991632268865756311182277520540088304/1731218235821561646125)
(697451377439095152417743517144384114/4335518156974685521, 546208820501232364426106499832551052160267441136194800/9027375633824530053972395431)
(989114970502356189954051/17247409, -248311795012245971094228318636575690/71628489577)
(79361416969339484961579/978121, 16265711497757838084389108616931190/967361669)
(552467208953452839359663074062/1308234975961, -407012035908127298737760952456892146711168503/1496334309039648541)

Eroshkin - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-04 23:42:29 UTC · history