curve #1098

y² = x³ − x² − 28988736544619415368095370719165120x + 2092184664137813418988486724511221531954993872509532

a-invariants: [0, -1, 0, -28988736544619415368095370719165120, 2092184664137813418988486724511221531954993872509532]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/4ℤ
conductor (N): 4659990065511415833093434527107313388040
discriminant (Δ): -331888267316660570588402025249061171699263654287565566772639145589675924090573882167544964978152400000000
Faltings height: 18.7904
naive height: 249.8632
primes of bad reduction: 2, 3, 5, 7, 11, 17, 19, 23, 43, 61, 83, 157, 199, 277, 349, 571, 619, 11677, 25014413
regulator: 2602253059003.88067840504878820771302506881639082001167996399
submitted by: dujella
submitted at: 2026-09-23 19:01:14 UTC
last updated: 2026-09-23 19:01:14 UTC

(-89000242786181962, 62985827654559137516454420)
(321430220667349174, 161194476035051426899197420)
(378022639686402069, 212493865987873070406505700)
(-566101963637165587/4, 463734408645541734832665303/8)
(6573279977227087494, 16847251581507446314932887500)
(548360548631527693/4, 210833999252583711856628007/8)
(-168526343253234959/9, 1384243803975672042355038790/27)
(-445046372896160167427/24964, 201249458022639301328770506615903/3944312)
(118837756467477323337/961, 594649308054850367972835623386/29791)
(934144748087810038, 888916130445674287868810220)
(61137597239000642222229/3818116, 301403386312262003154014958582327325/7460598664)

found by Dujella - Peral (2014)

last edited by dujella at 2026-09-23 19:01:14 UTC · history