curve #2097

y² + xy = x³ − 1352161593194598361697785822497110391286260x + 605147552401421355766591918712155245613551841218416755841619600

a-invariants: [1, 0, 0, -1352161593194598361697785822497110391286260, 605147552401421355766591918712155245613551841218416755841619600]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/4ℤ
conductor (N): 66383858512923544794969205407447187710
discriminant (Δ): 21658448552448952333699688111275569012917787515813018730759005440531313113922275870576916022830086961768693760000000000000000
Faltings height: 22.9043
naive height: 302.6444
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 41, 43, 53, 61, 71, 89, 101, 127, 193, 421, 1289, 198377
regulator: 4704590323870.7268399320014857134606247084399637018990196
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:56:18 UTC
last updated: 2026-09-26 06:56:18 UTC

(9984340177650880504605140520/13980121, -100962976537790795521082979099038255482140/52271672419)
(3312958207814671496715491880/4897369, 1162614531453975007156875538065672868380/10837877597)
(210974667710830211955633951720/310076881, 1921293479947952965169683719714219622081260/5460143797529)
(239469475544896629075972780/316969, 686832009263183314262025930401160756180/178453547)
(77102303558050031371819614156/5452225, 21339025662326510586156335223576398788595016/12730945375)
(9473142605363149426639760358120/13780177321, -1125571407171685824237282697788914426635435140/1617641235534869)
(3040785856067152369051455074028264/73319100625, 167613820960947541492084455419991924276063664686612/19852979471734375)
(3312792380308190038585582777420/65270241, 6028070522445522140943370244412335912444830660/527318277039)
(537046486292321045422301881681049435655720/275556322813467556081, 335286124569724035935644398867325910688678517569294438555445740/4574204438360802934091556024521)

2-isogenous partner of curve#1828 (Dujella - Peral (2019)). Isogenous to curve#2102 (also ours).

last edited by Steps Unbounded at 2026-09-26 21:45:50 UTC · history