curve #6213

y² = x³ − 250116868238064621807x + 1492090588178740485486778005970

a-invariants: [0, 0, 0, -250116868238064621807, 1492090588178740485486778005970]
c-invariants: [12005609675427101846736, -1289166268186431779460576197158080]
rank (lower bound): ≥ 18
torsion subgroup: trivial
conductor (N): 2519040732742037109555181572809852006991899616554936424
discriminant (Δ): 39626646872573608980771908934272714824484510099283988535607552
Faltings height: 10.6060
naive height: 152.5190
primes of bad reduction: 2, 3, 7, 17, 3773821, 4132619509003, 1108919683830321556253138920333
regulator: 10739565079396695.143960861334320848969029733026488254510687621216584999833
submitted by: apkorte
submitted at: 2026-10-30 19:07:22 UTC
last updated: 2026-10-30 19:07:22 UTC

(11910217085, 450164017677150)
(1309106033, 1080233576011674)
(-15974862753, 1187833457086808)
(5972023449, -459760138592926)
(5137512251, 585415900741392)
(13461239021, -751299451540722)
(7497275657, 195731741490642)
(10244143781, -70023569233338)
(-17426997211, -747190377992646)
(-6152888965, -1672750900186560)
(-7721905971, -1721345118175634)
(10314601709, 98059108824306)
(8032462379, 35977159774584)
(19936357385, 2104647937812270)
(7982467181, 64668129786738)
(-6477207859, -1685349613171602)
(-10556454997, -1719313812480024)
(10195761101, -42944812142958)

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