curve #1907

y² + xy = x³ + 17189192408099124368974280x + 14347563590500778387882617467320974400

a-invariants: [1, 0, 0, 17189192408099124368974280, 14347563590500778387882617467320974400]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/7ℤ
conductor (N): 3113147035884595710
discriminant (Δ): -413975487584030035631026400684789287914854670107024814261019657119989760000000
Faltings height: 13.5816
naive height: 185.9326
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 19, 29, 34721, 318751
regulator: 5656.21870535160758730003264863566700880317149650
submitted by: dujella
submitted at: 2026-09-25 18:13:49 UTC
last updated: 2026-09-25 18:13:49 UTC

(-733027479160, -1163415328491323920)
(-683839158160, -1507690912971332920)
(1495149953554160/1849, 426501021351985991673560/79507)
(55827804602887280/2209, -13373046199076994518617160/103823)
(2543774259440, 8633260650255723080)

found by Elkies (2006)

last edited by dujella at 2026-09-25 18:13:49 UTC · history