curve #1201

y² + xy + y = x³ + x² − 52862290373113084328299093242770222626833187840x + 4678073893441672255790478922634173483399384602434339271325806003054305

a-invariants: [1, 1, 1, -52862290373113084328299093242770222626833187840, 4678073893441672255790478922634173483399384602434339271325806003054305]
rank (lower bound): ≥ 12
torsion subgroup: ℤ/2ℤ
conductor (N): 229584468983534025788078945027068319227598545134330
discriminant (Δ): 48572884968494303764690128605952043378453010468150887832388591399048226841419498449148481958737951416622044043977949698628971200
Faltings height: 25.0960
naive height: 334.3657
primes of bad reduction: 2, 3, 5, 7, 11, 19, 23, 37, 61, 71, 199, 239, 313, 353, 383, 503, 569, 787, 1609, 8263, 159911, 210361
regulator: 17993511234153902.264443026803540842302911655610344761253724644
submitted by: dujella
submitted at: 2026-09-23 22:44:47 UTC
last updated: 2026-09-23 22:44:47 UTC

(556513521904293701695447/4, 32492448874857671836753314366642239/8)
(132743281004006865472185, 35948924073712184613781482805)
(213732101593334609404783, 56065047110301938229307042881458463)
(2828590388936716055889819847/16129, 57979412416905909999213355512937710111289/2048383)
(139081471405033090930951569/961, 228632905974119659696553371238924732875/29791)
(14156231502617381389894016707/104329, 62860903859817081738832361684899084601601/33698267)
(2236842599335372666019253941834361/16847261209, 39549915222767648473239427829908719350816900225/2186723963144573)
(1764645667614474600668971541713/844561, 2330523993285934083886615280594445519110870227/776151559)
(202053346572924378849859675/1521, 3714360012460682610776937495375523445/59319)
(2656901488704434656902232852777/19035769, 361073772866008973602502338097304182548169391/83053060147)
(22830075107790228407880595972207/2896804, 109038080937262367701225141059622526637319301829/4930360408)
(143948061261825522277129, 7169647172917845529378391280384385)

2-isogeneous to #1114

last edited by dujella at 2026-09-23 22:44:47 UTC · history