curve #4892

y² + xy + y = x³ − x² − 12370806310943702x + 418962414664329904951525

a-invariants: [1, -1, 1, -12370806310943702, 418962414664329904951525]
c-invariants: [593798702925297681, -361983523597886874714278265]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 957491537898602359762334123778
discriminant (Δ): 45335364744852605797601552276472542244710642614272
Faltings height: 8.2421
naive height: 122.7760
primes of bad reduction: 2, 3, 11, 17, 29, 53, 101, 193, 199, 1753, 1292713, 21053833
regulator: 64106980.1469397176923801141089547091814121729722371870823204
submitted by: Ritik Jain
submitted at: 2026-10-20 22:31:52 UTC
last updated: 2026-10-20 22:31:52 UTC

(-93525575, -870515052325)
(-123875267, 224835681647)
(36644377, 121835576747)
(36652265, 121565286539)
(189146761, -2201474369749)
(-2218007, -668123159413)
(257563757, -3784205418593)
(-60138947, -972299901073)
(31447273, 247033812107)
(-2826671639/25, 76270463466151/125)
(23889481, 370209844427)

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