curve #1934

y² + xy + y = x³ − x² − 12595569846799730587572505x + 17205797813043188222391188752442437497

a-invariants: [1, -1, 1, -12595569846799730587572505, 17205797813043188222391188752442437497]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/4ℤ
conductor (N): 269595394580676263069520550
discriminant (Δ): 17237290674494463740815599143193947775522282531785846365509386240000000
Faltings height: 12.9240
naive height: 184.9998
primes of bad reduction: 2, 5, 7, 11, 13, 19, 43, 47, 89, 103, 139, 179, 313, 647, 3037
regulator: 14027706.368956889823716403601725372839021274101138525078
submitted by: dujella
submitted at: 2026-09-25 19:24:16 UTC
last updated: 2026-09-25 19:24:16 UTC

(-1365084886601, -5644115121196512100)
(2050179682599, 2638919079368300)
(2048460936999, 909906266069100)
(-943982574201, -5315506132459837300)
(-1354803427545, -5637692797515722644)
(1600442612775, 1070845269289591916)
(63684624301863, 507447295857069989996)
(115404196615, 3969099734681083148)
(2043654754849, 13276177323863600)

found by Voznyy (2023)

last edited by dujella at 2026-09-25 19:24:17 UTC · history