curve #6153

y² = x³ − 4327933519704741607277723997287775x + 109562635432621003848804369473196916010162509661250

a-invariants: [0, 0, 0, -4327933519704741607277723997287775, 109562635432621003848804369473196916010162509661250]
c-invariants: [207740808945827597149330751869813200, -94662117013784547325366975224842135432780408347320000]
rank (lower bound): ≥ 22
torsion subgroup: trivial
conductor (N): 1764291276220044876660704418711272139262473554861378543100521657973240600
discriminant (Δ): 2544317172778503999865189597067435063922725457703911320975269894390998448670003563411977093156000000
Faltings height: 18.0549
naive height: 243.9648
primes of bad reduction: 2, 3, 5, 11, 13, 17, 23, 29, 41, 43, 79, 6507014152809015465413674915919702546017062662651348569
regulator: 145883210581706987949.9746494695416734859808545832330604478408573252427982612597032
submitted by: Ritik Jain
submitted at: 2026-10-29 13:48:34 UTC
last updated: 2026-10-29 13:48:34 UTC

(59394124254081295553427921/1584040000, -238177373824612029299568078267725031/63044792000000)
(-20648644292587482117918055293576195/363212031700221001, 2869727865521948274909185905005217232347338880386750/218897267190583934138199749)
(4654916150121901819/121, -26687946328895111319652528/1331)
(3002577573075975, 9828262764236459985868800)
(300684565462149025/9, 40591235573863742597336650/27)
(55900275659677725, -6504569302379873816911950)
(297902784295612005, -158927531307852961832671350)
(872649907687635795, -812939901401723691737512800)
(1058748405042045, 10246054339286357589018450)
(642196847656563345/121, -12396320628074017346047181850/1331)
(-594533757648141411/289, -53472176156783978225517523662/4913)
(5752333568916865225/16, 13579999806665575951572007675/64)
(38602814782994829, -131369852184484587058242)
(718971875081788695, -607164921916771643310342600)
(37016756553910599, -280043372765538403913232)
(137543887227517992345/3721, 68147524644968354691070994850/226981)
(1998264949600948402397510070/53490900961, 1631908804782689309899262855421435271500/12371429065161041)
(38892640787318061, 261417131277586253224866)
(124965242841877905/4, -17608085250440919312110175/8)
(1769388775183811175/49, -207495033893887705701021000/343)
(575111192146978425, -433405358375865840919533150)
(2071812133611354217425/22201, 75315473095299861180173683973850/3307949)

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