curve #1959

y² + xy = x³ − 51441720876862297327166535x + 142963474657645336135535278259064913161

a-invariants

[1, 0, 0, -51441720876862297327166535, 142963474657645336135535278259064913161]

rank (lower bound)

≥ 19

torsion subgroup

trivial

conductor (N)

829590904865694530414256092266091141797426219506094106370246

discriminant (Δ)

-117283820176534607437305582790096748427443926820854854129500247252692973846528

Faltings height

13.6172

naive height

189.2345

primes of bad reduction

2, 3, 11, 13, 23, 29, 37, 43, 90887, 1225579, 1403350363, 5828697142157060486159716479029

regulator

68760552705966760.62946992542431839452843013990721748392398144103127270362498

submitted by

Ritik Jain

submitted at

2026-09-25 20:06:45 UTC

later contributions

(3937811700150, -1206979197221954331)
(3278359987704, -3090898268493096069)
(-11067928595939725462992634770770460/1601532308374579831441, 831738929615612863311154305222250491899305157844771/64091960511171513656343398029511)
(3921305147318, 1241474610964609253)
(3843605493216, 1422862442499520611)
(-8151280049898, 4547625472205558469)
(-4584628666206, -16805984084413894755)
(63206719358373/16, 75633905383391708757/64)
(520723470319398/121, -1508989985506467115137/1331)
(656875644131960994/237169, 538460512471454035079658519/115501303)
(-11895385084840002/1681, 851486750376299259118629/68921)
(3735853772454, 1710131797915442181)
(3468606990772806/169, 193198089041500733202537/2197)
(4649883915510, -2074258635888576411)
(171801710228302614/38809, -10789729262262545885963487/7645373)
(-118523394554039558050626/14927219329, -13002899136766090836394804695692307/1823762875959233)
(12826377615281363663622/51079609, 1452047262187640114225634341448639/365065965523)
(13564459535000291029757093828454/3224637652907767321, 5809056756214763509398972858283536065698947951/5790570868796712214683200131)
(127757082811750704/29929, 5570564407634676979978191/5177717)

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