curve #3923

y² + xy = x³ − 1153585915174752104232543510x + 15032819092497874344329427687420806552100

a-invariants: [1, 0, 0, -1153585915174752104232543510, 15032819092497874344329427687420806552100]
c-invariants: [55372123928388101003162088481, -12988355695918246491686518104083081604147121]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/3ℤ
conductor (N): 35833520154244057499234299250641710
discriminant (Δ): 623577009680181207701505212355905714631900792697161714406893811607867523072000000
Faltings height: 14.3635
naive height: 198.5516
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 23, 31, 43, 53, 67, 109, 151, 1018429, 38462929579
regulator: 74348990123.13411689678567034436122361288257613871505785666
submitted by: Maksym Voznyy
submitted at: 2026-10-05 00:05:23 UTC
last updated: 2026-10-05 00:05:23 UTC

(2883507905896986060/529, 4896359599813032846113741430/12167)
(944618141626055820/22201, -685775396049393656151566190/3307949)
(1044070109434085580/49729, 91246528287932217278123430/11089567)
(1922691736817400355169580/89432696809, -347488196118267511774632528243939870/26745116278821877)
(353948939327319105/16384, 29200832408157092096950305/2097152)
(12448781053752902067358380/597462523849, 3008305554338782580274298950866839170/461812840046751493)
(162675090036478692/7921, -1319540691089568906410742/704969)
(187614136541128266940944204/9128767318225, -62703219582387867101990345939002454262/27581520643775241625)
(1060827431289932538540/35081929, 18350722839186677074401978292350/207790265467)
(8158659736888809803340/396766561, -20015180352250379516093946432570/7903193128559)

Eroshkin - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-05 00:05:23 UTC · history