curve #4896

y² + xy = x³ − 290428506373445565x + 60218389513980580620218481

a-invariants: [1, 0, 0, -290428506373445565, 60218389513980580620218481]
c-invariants: [13940568305925387121, -52028688560990074114756848265]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 5559427803542595687320516253318
discriminant (Δ): 1283489519864107746231060924979714647478253624819712
Faltings height: 8.7622
naive height: 132.2440
primes of bad reduction: 2, 3, 7, 73, 79, 97, 283, 419, 457, 673, 1249, 71161009
regulator: 162365952.996684367757445624810779697558107098754567734260816
submitted by: Ritik Jain
submitted at: 2026-10-20 22:32:04 UTC
last updated: 2026-10-20 22:32:04 UTC

(-31245306, 8322419917011)
(215710116, 2758007202591)
(-621899550, 557507232591)
(394118976, -2640919087257)
(537785058, 7717540640079)
(254762418, 1662158048223)
(352561974, -1283833629945)
(671442834, 12958155785775)
(266266482, 1328298707439)
(920690850, 23942535399759)
(1220190882, -39020356816881)

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