curve #3847

y² + xy = x³ − 16807831982751209891x + 26824639618179023995402661121

a-invariants: [1, 0, 0, -16807831982751209891, 26824639618179023995402661121]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/3ℤ
conductor (N): 864881044941708248228868030
discriminant (Δ): -6961415930431666469752648198545985507727012091136202342400
Faltings height: 9.9070
naive height: 144.4414
primes of bad reduction: 2, 3, 5, 7, 17, 113, 137, 181, 367, 859, 73363, 534043
regulator: 3196592336.4155356945788272543233400775709873369419355853
submitted by: Maksym Voznyy
submitted at: 2026-10-03 23:51:11 UTC
last updated: 2026-10-03 23:51:11 UTC

(270231559450654/117649, -740367175363300264961/40353607)
(76152815723708360142754/24802262554969, 7970054151623347754932788590535511/123519905546843399203)
(-126843391433636/29929, -766810638634538177971/5177717)
(647301449794/361, 339625644823463227/6859)
(117751337159086/57121, 417760572482664346343/13651919)
(-2259927056803042946/490666801, 878458690528031140305006143/10868760308951)
(-16642941292932674/3568321, -413136749957553309751207/6740558369)
(22983513987085774/966289, 3435736210418077138086239/949862087)
(1665635914512715966/952277881, 1548586553749639273791722923/29386343129779)

Eroshkin - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-03 23:51:11 UTC · history