curve #3911

y² + xy = x³ + x² − 7523735096714753137x − 26348788991808975429169871

a-invariants: [1, 1, 0, -7523735096714753137, -26348788991808975429169871]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 3883188323664306231921434036865473198656164249870
discriminant (Δ): 27256851211537475401188980282603399066799856501660942312500
Faltings height: 9.9022
naive height: 142.0074
primes of bad reduction: 2, 3, 5, 17, 19, 61, 104959, 64148556431, 975726879306633147368064367
regulator: 57126756744293.79394754255665191284587071385438963269238363768447269223
submitted by: 7fff-zip
submitted at: 2026-10-04 15:32:57 UTC
last updated: 2026-10-04 15:32:57 UTC

(3022285833, 69575580726446)
(-2462141792, 59769953349721)
(-2592471220, 45332961613973)
(-2695836292, 25775933967071)
(-1189787322, -85093706933279)
(3780661293, -159900172328954)
(140283877763, 52532494964361971)
(18801209807/4, -2093098682870057/8)
(342028245967/9, -199507758956205658/27)
(894374843749/16, 844801966423653517/64)
(334063006038/121, 20864483078497931/1331)
(1436431388947/484, -655126638819513617/10648)
(1742929578985/529, 1273214709889069154/12167)
(-1420176462560/841, -2162684033299851907/24389)
(9944274714697/1849, 26970523751037743107/79507)
(-2880133231778/5329, -24238150420400783363/389017)

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