curve #6238

y² = x³ − 3542203619054945869448551403772x + 2829716593705391235994542180493212539111550225

a-invariants: [0, 0, 0, -3542203619054945869448551403772, 2829716593705391235994542180493212539111550225]
c-invariants: [170025773714637401733530467381056, -2444875136961458027899284443946135633792379394400]
rank (lower bound): ≥ 23
torsion subgroup: trivial
conductor (N): 86739930075575050718934139457721784267465981095189529885366639190177404692849890412
discriminant (Δ): -614687219601329616412777977130606168871863479455739130993509790449168410339020907354093508528
Faltings height: 16.5387
naive height: 222.8362
primes of bad reduction: 2, 3, 7, 11, 17, 31, 55717457852889979, 13191439877464132483, 80785186312150932864387819157033640243089
regulator: 432284238090289717650042.392627651427142195147643163894459273855912183451512263323791
submitted by: apkorte
submitted at: 2026-10-31 15:00:53 UTC
last updated: 2026-10-31 15:00:53 UTC

(1226257655022396, -18165779246092826285343)
(1334011731582792, -21871573921588459747833)
(765442524606868, -23808356028200144924369)
(1480519517622274, -28820514447032330537711)
(-941215176264948, -73006047983578386309633)
(1369583718892728, 23396195121508997253081)
(5445804445737088/9, -813551749223643951138541/27)
(11104739373645613092/10609, -17916370823171436121104089337/1092727)
(660991519967271, -27877297310574302449782)
(982985780419527, -17251135375605857128242)
(929640567461800, 18443566683632198589625)
(948000627363282, 17991065116763012368017)
(-1829218835694681, 56467158130673395682346)
(4468771054513344, 276118446563097574459671)
(-54490736324352246/25, 1747578661330017113885133/125)
(3042677347377006, 142199480293857886818303)
(71605068447867, 50758683993572017023792)
(-288350038477778, -61863851034956958339583)
(2153036003892903, 71998339789474768614294)
(26997022446960879/25, 2030447352598091776706742/125)
(-4110072105433431/64, -28308237000570633462948459/512)
(-8506853269191152/9, -1971807615898370550021491/27)
(562729606390486, 31852948006286519577983)

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