curve #1197

y² + xy + y = x³ − 18922511049224630228x + 31686836332788381734601386006

a-invariants: [1, 0, 1, -18922511049224630228, 31686836332788381734601386006]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/3ℤ
conductor (N): 16479772826906529461361810
discriminant (Δ): -125057234157808250503732232967012061358738533231007812500
Faltings height: 9.7718
naive height: 144.7745
primes of bad reduction: 2, 3, 5, 7, 11, 17, 31, 59, 167, 141241, 9727457881
regulator: 842450.16764699703045458966073143577397714037032026361534
submitted by: dujella
submitted at: 2026-09-23 22:10:50 UTC
last updated: 2026-09-23 22:10:50 UTC

(1378698225, 90658263047977)
(-1935504645, -247103663927903)
(2557613655, 4549101125347)
(2577866580, 6168963821722)
(2592946680, 7423021430722)
(1921401771, 49217855606929)
(2625372060, 10186298114617)
(916162305, 122961848790097)
(2498593155, 2410440755347)

found by Eroshkin - Voznyy (2023)

last edited by dujella at 2026-09-23 22:10:50 UTC · history