curve #4888

y² + xy + y = x³ − 222802161852169113x + 37192249862772681701778952

a-invariants: [1, 0, 1, -222802161852169113, 37192249862772681701778952]
c-invariants: [10694503768904117401, -32134103897477352643693190845]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 12240936838475070613473561753358014
discriminant (Δ): 110275200081163620934849888458487287610641121715331492
Faltings height: 8.9175
naive height: 131.4488
primes of bad reduction: 2, 3, 7, 17, 73, 137, 179, 439, 2447, 2473, 88657, 40661589313
regulator: 694582464.678103943177115264866509095105052938883677959082564
submitted by: Ritik Jain
submitted at: 2026-10-20 22:31:40 UTC
last updated: 2026-10-20 22:31:40 UTC

(-127947136, 7975312789047)
(109764578, 3749470027710)
(168108053, 2118452985060)
(176092169, 1848933181248)
(206134433, 154797340326)
(371867333, 2400479568276)
(17402395886/289, 24065708405418879/4913)
(429601814, 4556359318863)
(533719670, 8384956462266)
(97299770, 4053938467263)
(605252903, 11138078865660)

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