curve #6434

y² + xy + y = x³ − x² − 1480987076593543350884469780x + 24466872536032265248853857800070499609847

a-invariants: [1, -1, 1, -1480987076593543350884469780, 24466872536032265248853857800070499609847]
c-invariants: [71087379676490080842454549425, -21139377871131557281801188933897120617435625]
rank (lower bound): ≥ 21
torsion subgroup: trivial
conductor (N): 10714648381320974206654737579550046952418597180192932574065968219023791650
discriminant (Δ): -50717145234079952148747801048545374246456284636612434763386816606655976347776000000
Faltings height: 14.6008
naive height: 199.5194
primes of bad reduction: 2, 5, 43, 1523, 1873, 1747035712827205919854758208649011746982185721370182475359848089
regulator: 1008875921763923818161.6730199899048930219745415689062238849231079292461173328307
submitted by: apkorte
submitted at: 2026-11-03 01:50:03 UTC
last updated: 2026-11-03 01:50:03 UTC

(-5693697676291, -180871735744873614755)
(25581007048929, 57633603497725086485)
(54467832875519, 324642663885002058365)
(64619475145369, 445641407812839288865)
(26814229459779, -63520514199649171915)
(28827579895659, 75697836336765543045)
(28623891568709, -74347785445082004755)
(2766840984461171/49, -119253232361737118636095/343)
(-34253062613521, 187101717012989377885)
(28459506704709, 73275520509873272045)
(-38913296940591, -152225831128461810955)
(-18836485168971, -213728862190023526915)
(-44993780124831, 3854882697315632265)
(6373637855429, 123638644435565323085)
(314497961399269, -5537632157435147095635)
(1986725533732989/16, -84786471320711258187685/64)
(51479983931209, -290959396901395542255)
(16740726970959, -66073402726814724205)
(1055152250759765/49, -17357705496730930235701/343)
(776570997586861/9, -19824223416445499960705/27)
(-5708969614341, 180930138848304107045)

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