curve #6466

y² = x³ − 261878595332301913054730724x + 1427433925503247364715992460384365243556

a-invariants: [0, 0, 0, -261878595332301913054730724, 1427433925503247364715992460384365243556]
c-invariants: [12570172575950491826627074752, -1233302911634805723114617485772091570432384]
rank (lower bound): ≥ 21
torsion subgroup: trivial
conductor (N): 45104481935910901872926598341237077585313913484839536263257670605290328
discriminant (Δ): 269194054290284630232177395947201306699161227676762549122624506255071426569520384
Faltings height: 14.1603
naive height: 194.1034
primes of bad reduction: 2, 3, 7, 137, 23651030708886943832903, 27619672418567645515803488104264118962726187
regulator: 375181823814810187304.65330382041171074521811120850823662731550274874029960291180
submitted by: apkorte
submitted at: 2026-11-04 01:09:57 UTC
last updated: 2026-11-04 01:09:57 UTC

(5091978961842, 15032622184696376694)
(81866557715913/4, 544986940536648080667/8)
(2912972898016576/225, 48560233869261787166074/3375)
(11998258633630, -3548893768808037706)
(2726887151794776/25, 140900247994197874908726/125)
(-3064654623258, -46917137661406673094)
(14431230290928, 25566726660656149206)
(28179800874984, 128161461867588987138)
(-10995205790958, -54567229295015768394)
(6461440649569, -2255540385664541647)
(61870760770570, -471238287671016089126)
(19377040266582, 60236974782729320166)
(48530565918600, 320964600078830967966)
(27140234368425, 119629744267824787941)
(11925749332953, 676179118430424819)
(302147630803401/25, -658732254875078779899/125)
(-10480444301562, 54962432315113575546)
(-2599390459488, 45723024903629815686)
(10842679459027258/1681, 177522095063861081715286/68921)
(21213871495722, 73612624679700561126)
(18605016285054, 54728805037188900618)

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