curve #4889

y² + xy = x³ − 128522275565347245x + 7764138750985014431891025

a-invariants: [1, 0, 0, -128522275565347245, 7764138750985014431891025]
c-invariants: [6169069227136667761, -6708215890104656309858847241]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 2610087447952072310020069034471370
discriminant (Δ): 109825618119032964406635161562167180773534596039840000
Faltings height: 8.8719
naive height: 129.7982
primes of bad reduction: 2, 3, 5, 13, 17, 31, 61, 149, 151, 1151, 7489, 336769, 245195317
regulator: 296826902.160225995128510456387039874266563316174558268352791
submitted by: Ritik Jain
submitted at: 2026-10-20 22:31:43 UTC
last updated: 2026-10-20 22:31:43 UTC

(412149450, 4980196914855)
(423851910, 5425182956355)
(-45465130, 3676085945555)
(-134860998, -4758503596113)
(-349440210, -3162954065145)
(1536273600, 58617780732105)
(328207020, -967963674945)
(27070890, -2074806250545)
(1199329860, 39732637655535)
(1786656570, -74037370220625)
(-385213620, -332974947585)

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