curve #1874

y² = x³ + x² − 687794124120514215873658091119075551373540x + 201448666194759392668711385448114640865698559297005419449122400

a-invariants: [0, 1, 0, -687794124120514215873658091119075551373540, 201448666194759392668711385448114640865698559297005419449122400]
rank (lower bound): ≥ 24
torsion subgroup: trivial
conductor (N): 74622267840672086456312436709411339494840647887394736777119162797193320602367375561319786040
discriminant (Δ): 3292342056521115661333059316880733233090867798316825379481215018171809951651456534067209949164498813690145738308602246340000000
Faltings height: 23.0155
naive height: 300.6165
primes of bad reduction: 2, 3, 5, 7, 11, 13, 19, 29, 67, 71, 97, 157, 1414830123423424041214523784062504776251980295864281065667250594607618935749
regulator: 3331680265365227792201678.3759072382989392356432197646533815828026144468212845256161990
submitted by: Ritik Jain
submitted at: 2026-09-25 17:23:46 UTC
last updated: 2026-09-25 17:23:46 UTC

Witness: 24 independent points log in to add more points →

(222770539887435219160, 7699595286720083675506828646760)
(170975093089109333570, 9426082336071240371945165245350)
(167119918552590319616110986446/281803369, 6901403977769802828049017733692450765244830/4730633155403)
(-1284824232542251876906405/5041, 6792705056660156910138058759890054000/357911)
(7426085508441632813698385/23104, 12943324226179307357808150931159783815/3511808)
(5989853392281049304527112995337280571414571179880/8520768661175377635741600889, 6357583371642385565004383812972645963176886966012115793297901185091986000/786535196522622259378165578053594701318963)
(7521599704473380701245980/12769, 1200824205898965459317186340193677000/1442897)
(339816839227029305244155/1681, -579391441292747615480001316647624240/68921)
(17156651616572954861241005/20164, 43632649216631013948930772888346989125/2863288)
(340535385636960703670, 2592372110913103497060903707250)
(57269731456939624247105/64, 8905197017332720059387369968455425/512)
(182510972786719358277080/49, -76169481047204170838166830681091000/343)
(8247718645011992115437/4, -695110728965775145449369685434693/8)
(3836016864564752026648502/10609, 184999830864228866920654374078166242/1092727)
(318919286025998144156353045/948676, -2649594149317137688788458664720363827625/924010424)
(-2187371483838304436197057/6241, 9854077678138683933474514377263283414/493039)
(304511506663642410830, -4499328631314015151366414875510)
(332720287802780228322572/529, 51137325470241513936029955745693152/12167)
(-157193271227238905588362171/168100, 357514597260262508363602313163698531583/68921000)
(3691766022574540499602688753/3748096, 158908089768181988284383769267077168060489/7256313856)
(1689431049901750774175, 62140193295764296957152954830730)
(-84372304985345452201418110/201601, 1846219117567841268646710043410856760730/90518849)
(-1319672616020211957554915396675313450995/7407966316614138916, 359733513142915778830447194332458803951738589694089441761915/20162691185944884410570826536)
(44516990342046148721117190530/12439729, 9158153142137898671380324186573474588130550/43874924183)

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