curve #3886

y² + xy = x³ − 125838836005362890974279729544240515x + 17157070715388780469816175986072599429396204986340161

a-invariants: [1, 0, 0, -125838836005362890974279729544240515, 17157070715388780469816175986072599429396204986340161]
rank (lower bound): ≥ 22
torsion subgroup: trivial
conductor (N): 305050361087913706781936496067538369979193499052921434300011555727341114566
discriminant (Δ): 367720661732364679131726942206900543073281121960702362465856865620354470548470772241094082364177717133312
Faltings height: 18.9599
naive height: 254.0745
primes of bad reduction: 2, 3, 13, 17, 19, 23, 29, 59, 97, 109, 50411, 198413, 153126128861541877383912954410510968363522676247943
regulator: 494237746322076409152.4864550585066929490012835680194455134024934783670489360742455
submitted by: 7fff-zip
submitted at: 2026-10-04 14:08:28 UTC
last updated: 2026-10-04 14:08:28 UTC

(3376365170123458526, -6171086443959969405537677767)
(191440694457801230, 9088996171393441388536841)
(21391773983712995828654/180625, 4803143704259267436663161322143233/76765625)
(1923211195032104510/361, 880702576551922227613548981059/6859)
(182137726193735754494/25, -2455240837177715633461462670363/125)
(11353149634761504434059/52900, 72241004547627993938198870031617/12167000)
(6096377042132186654/25, -3896205865340896719815016827/125)
(195617579550556046, -5131369015638630870537367)
(-4797914329591748245426/21025, 562055255797622027777784627198617/3048625)
(28847999380717777286/121, -35391633583546955281393290269/1331)
(-529628356219204966126/2809, 27524440074802537439469453166441/148877)
(509778158144304677348/2209, -2094452721645236193818332639523/103823)
(48458360728948028972438/249001, -766300014121866983187688045230613/124251499)
(1509378080005524034046/121, 58616961184861176120470444458123/1331)
(-6869578100515596934/49, 61399487086412250109567990835/343)
(63746687644335845539/324, -22278135259704301466494512169/5832)
(7945176031981221651876928046/37397758225, 24575522061739532296922750905434452724289/7232165474341625)
(232152111606425870, 21332254511323346867494409)
(3320416665419188228674014/6889, 6050465094689824537309828523834318371/571787)
(-1959520150942205982386/5625, -57720414658633174175109243741637/421875)
(111486316367933678, -67182200196464328218107447)
(45149540529792664037246/116281, -6495381997946000730278343693219179/39651821)

X1008, t=329/172

last edited by 7fff-zip at 2026-10-04 14:08:28 UTC · history