curve #1935

y² + xy + y = x³ − 18867784760635242349892340171680238008255587838x + 997538055692091226068752063841965542145691025244956491303628897332656

a-invariants: [1, 0, 1, -18867784760635242349892340171680238008255587838, 997538055692091226068752063841965542145691025244956491303628897332656]
rank (lower bound): ≥ 14
torsion subgroup: ℤ/3ℤ
conductor (N): 2895114750987507516743286215077001111187647487851942586990
discriminant (Δ): 21078659907485378792136395196866584375889039426733599046335349048448801719401974401829046431753096010504894966161655609323734375000000
Faltings height: 25.0924
naive height: 331.2750
primes of bad reduction: 2, 3, 5, 7, 11, 19, 43, 79, 109, 173, 269, 293, 379, 2383, 6091, 7360831, 20046928591, 16094800990381
regulator: 621806391865796.377390039517475979926801418387974546681988515823638
submitted by: dujella
submitted at: 2026-09-25 19:29:42 UTC
last updated: 2026-09-25 19:29:42 UTC

(12864256042996859681925, 27512668636643519258048327414154037)
(79318784030712572297850, 4651924309564719427822985851537)
(79336902537034132657950, 14824810026698869991976958468012)
(79315263837171944584362, 1127922585398596499789708582548)
(79507759827058070939525, 98883656314865201492304020804037)
(79478240571896535857925, 84452732814512106743755527804037)
(70940904022155789777690, 4007291237835963069650624862069172)
(63074263073401074937725, 7641906126570214399100355852414037)
(80622777748625913134925, 644590688365435089407297943261037)
(79235130495136906316925, 33647493872935940195847354654037)
(9144028966628125493325, 28736301909404056080997883298324037)
(-72399779656408399006200, -44542805882853035305521480502944713)
(-82480606624979486358075, -44639048587678819021651441428095963)
(86685829156539722432925, 3655590592921252290248091129138037)

found by Elkies (2018)

last edited by dujella at 2026-09-25 19:29:42 UTC · history