curve #6205

y² = x³ − 2425196742659847x + 21049144285320073776330

a-invariants: [0, 0, 0, -2425196742659847, 21049144285320073776330]
c-invariants: [116409443647672656, -18186460662516543742749120]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 278352792809743956037128280557533537160973416
discriminant (Δ): 721490438962856334048236503205126928321243094272
Faltings height: 7.8780
naive height: 117.8877
primes of bad reduction: 2, 3, 1889, 313639, 60708047, 107486719045213352410019869
regulator: 30969308472784.93453315233531449416578526197731983858210857989227029232
submitted by: Andrii Prokhorenkov
submitted at: 2026-10-30 17:19:23 UTC
last updated: 2026-10-30 17:19:23 UTC

(-14105787, 229023533754)
(-3140418, 169216737588)
(10525768561/100, 965374245179441/1000)
(112213065, -1077901530570)
(1299379053, 46805161056354)
(19795209/4, 766019301741/8)
(208426641, -2927451755682)
(22978583023602/80089, -108565213233366376902/22665187)
(260203377, 4123988589762)
(341170075863/2809, -183436913602251324/148877)
(364024965, 6883072348410)
(44959311, -53777387988)
(62312766, 334486876068)
(62665089, -339344000946)
(8300802, 38600765262)
(8970703, 3915171604)

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