curve #2022

y² = x³ + x² − 4181221879740171925539274x + 2979556833363929173148850573401537576

a-invariants: [0, 1, 0, -4181221879740171925539274, 2979556833363929173148850573401537576]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 1286355112934990078205895192224
discriminant (Δ): 843124832427021074239435318072088730281110467717486038473987719755322644544
Faltings height: 13.1120
naive height: 181.6915
primes of bad reduction: 2, 3, 13, 23, 29, 89, 127, 211, 257, 277, 397, 599, 947, 3109
regulator: 735322409166.1576884241571611816354874206738803063789541119
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:02:10 UTC
last updated: 2026-09-26 05:02:10 UTC

(10999597908797/4, -28029939929487422835/8)
(8251294170749/4, -14158520039687743251/8)
(3964348556146, -6979088307079063032)
(290817098997581/196, -563631973079047195077/2744)
(67385970176189/4, -549248087826770718771/8)
(671926521372041/16, 17397065629565161670547/64)
(2121294532342349/1444, 4745568675400178531829/54872)
(375799411085521/256, 290259527092287144423/4096)
(1433522466547829/484, -43354239892459493057319/10648)
(479966553022429/324, 1113329801791364449501/5832)

2-isogenous partner of curve#632 (Maksym Voznyy).

last edited by Steps Unbounded at 2026-09-26 21:42:16 UTC · history