curve #2020

y² = x³ + x² + 339880958955452939900x + 2117474805251396610270332719044

a-invariants: [0, 1, 0, 339880958955452939900, 2117474805251396610270332719044]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 159117919909446340006437537659166966132164
discriminant (Δ): -4449772990938479149487299867789674407900211892093160836608986368
Faltings height: 10.8998
naive height: 153.4390
primes of bad reduction: 2, 19, 23, 29, 31, 37, 47, 53, 59, 61, 67, 79, 83, 97, 7163230956091032353
regulator: 515309558238174.840787954859231657572812449189938515974489980
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:02:05 UTC
last updated: 2026-09-26 05:02:05 UTC

(107788361825728/10609, 2811409233023802903422/1092727)
(70828773226858936/3222025, 26001383644083392726976734/5783534875)
(137496870748047457/266256, 51017495405237138474687879/137388096)
(-2868591303933416/1207801, 1511599144073913193845202/1327373299)
(257951328957987217/1700416, 132014028274291404414062119/2217342464)
(39355999648/9, 51846718118108698/27)
(-332906552266031123/108701476, 1160113078067491339197008491/1133321588776)
(17051609827147813/40804, 2228828144429808608256817/8242408)
(-878346041896424/157609, 14026833530884548847394/62570773)
(1223037609739201144/81225, 1352570914131312379548915422/23149125)
(42832070460961/7744, 1391031237302396452399/681472)

2-isogenous partner of curve#34 (David Renshaw).

last edited by Steps Unbounded at 2026-09-26 21:39:36 UTC · history