curve #3925

y² + xy = x³ − 302843879344971283879593439000x + 65349653551596756298429867783925685334778432

a-invariants: [1, 0, 0, -302843879344971283879593439000, 65349653551596756298429867783925685334778432]
c-invariants: [14536506208558621626220485072001, -56462100668579619246602718603244231459976173249]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/3ℤ
conductor (N): 244405775981566610168906920014304009410
discriminant (Δ): -67279803018848701149993782106997463077878923476917406355086221770424228805412093952000000
Faltings height: 15.8337
naive height: 215.2998
primes of bad reduction: 2, 3, 5, 7, 11, 17, 19, 31, 47, 61, 71, 73, 101, 239, 457, 64460087785208449
regulator: 431737832053.7866110040185614694898983256338815656383752936
submitted by: Maksym Voznyy
submitted at: 2026-10-05 00:18:59 UTC
last updated: 2026-10-05 00:18:59 UTC

(14823219554530359476924594216/77410487612329, -2582730958247869590308673370048067615086384/681082473600769324267)
(7123224105101693744/14161, 10696509213904440591965190232/1685159)
(81467534877163177668051644/2119152744361, -22619844207071726339076329776046091781532/3084916343701382891)
(-52250419225003877103184/122832889, -14738039836206315218845119696249544/1361356908787)
(1283016898320113642/28561, -34751669469050988563914019740/4826809)
(526574133472523711876/426409, 11048971754979134851396020339316/278445077)
(12739372299830395727665135664/31776118494961, 518354624151375933233792194558969854140888/179122965015768500791)
(-217323986869728991/4096, 2363202565359500256218430737/262144)
(40741629247251024475097456/25864037329, -245973921943468886762981839925459401064/4159532075361767)
(-7535892986543306361991239484/16691906738329, 715420213559032335121956222998956356922516/68196003488635027517)

Eroshkin - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-05 00:18:59 UTC · history