curve #3928

y² + xy = x³ − 43168338935082589750014134637651445x + 3693280028867430637004782946690491379237445229819937

a-invariants: [1, 0, 0, -43168338935082589750014134637651445, 3693280028867430637004782946690491379237445229819937]
c-invariants: [2072080268883964308000678462607269361, -3190993944941460073480252869266531013662170372475329609]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/3ℤ
conductor (N): 1175747978447677754414309046887029326208486554510
discriminant (Δ): -744173172070181613620701149595901238314019077339924423908725032503956243810673719922917271699329024000000
Faltings height: 18.8683
naive height: 250.9999
primes of bad reduction: 2, 3, 5, 7, 11, 19, 37, 53, 67, 79, 89, 163, 197, 359, 8790487957, 286165914408971479
regulator: 85594630770519.4526776521480389647043186613063952078012992284
submitted by: Maksym Voznyy
submitted at: 2026-10-05 01:36:15 UTC
last updated: 2026-10-05 01:36:15 UTC

(78551979350120711474/625, 248565349430198905373147500943/15625)
(-3011087180182126726294/27889, 392319790370978548340524448742529/4657463)
(-187345744840334876107297449358/2460251853361, -312049243503675130192994849083741018862479535/3858951776781942359)
(85274863328266040054/961, 705875262630408702667534180613/29791)
(-8896875153408583169161478828069225206/366465978575011901881, 482328400933790380181927328761037560595568762862556497363/7015368585792706895367127346221)
(18103124809106740357702352354/70082502361, 1834611543242548113387129065769657110736613/18553010932529891)
(14416503503235721588034/116281, -623140171227170218849842428132597/39651821)
(-1830147109221247238493624766/7584842281, -5169675663642256927761719657626077178147/660571499094571)
(48311443499564793606621070167621457106/267625668374419604929, -184878245845177544381907653425411126666104067421872839881/4378160187036265313527744016033)
(-30369958684590098821624/139129, 2704144014145385649733819029519461/51895117)
(21576494508321437572263074/187169761, -40394727251479014121901743604310306217/2560669500241)

Eroshkin - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-05 01:36:16 UTC · history