curve #1106

y² + xy + y = x³ − 5012222351518888614250804048874855041913x + 136464417579052941096027626504118630642626009794008307407656

a-invariants: [1, 0, 1, -5012222351518888614250804048874855041913, 136464417579052941096027626504118630642626009794008307407656]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/2ℤ × ℤ/6ℤ
conductor (N): 2808140276431212848352337110
discriminant (Δ): 13874716024301527832825029365421779093952332868908905382904273673973251581834918866060419020437734873056411743164062500
Faltings height: 21.5890
naive height: 285.8517
primes of bad reduction: 2, 3, 5, 7, 11, 13, 19, 23, 29, 43, 109, 131, 317, 373, 953, 106649
regulator: 1690979.2562087343954871576521627220859984010718204
submitted by: dujella
submitted at: 2026-09-23 20:00:59 UTC
last updated: 2026-09-23 20:00:59 UTC

(36942058536678896625, 41448919589550865715463314662)
(32759641624440479850, 86158367801450315742417467062)
(7799455463851058031, 312803876557218100682449398064)
(67536753983723643825, 325583659454350025193050287462)
(88968136411056293415, 628290086040065957453320659772)
(660750980183544551325, 16890918612236252777190840817462)

found by Dujella - Peral - Tadić (2015)

last edited by dujella at 2026-09-23 20:00:59 UTC · history