curve #3902

y² + xy = x³ − x² − 4425108824146354389063576771108220642x + 3564972556047465714573511512734879952831906759053321416

a-invariants: [1, -1, 0, -4425108824146354389063576771108220642, 3564972556047465714573511512734879952831906759053321416]
rank (lower bound): ≥ 25
torsion subgroup: trivial
conductor (N): 182614960246958409696762003243933664245358778578022868742298959986943010467662565264949048439741331857350
discriminant (Δ): 55341463702840746058603725083074096949555977848069830372353699824043079322225140403542809129663610619369917500
Faltings height: 19.8988
naive height: 264.7547
primes of bad reduction: 2, 5, 11, 19, 29, 4050503, 148769227044624674103402261459605118806323275240761172741799165815551121520241398098455903009
regulator: 400874135016192427302339956551.6327648740422211374307509320794630025549034797454440240535
submitted by: 7fff-zip
submitted at: 2026-10-04 15:23:54 UTC
last updated: 2026-10-04 15:23:54 UTC

(1143681527833464508, 1131063990074953700874084)
(1283987745667333614, -864662646074490652092062)
(1130356503906572054, 85352835308365305716868018)
(1134736636589024174, 68972816965443697287469168)
(1137696438539546514, 55883958604505247710320738)
(1138744932596001114, 50580971716605247435480948)
(1140762246699571774, 38643328580292461329959618)
(1141349867420356534, 34471488682478443359143538)
(1141909679197718254, 29998245764408369937944418)
(1143266775318197004, 14480894923558060601482328)
(1143619900747589454, -5672111212671600216189022)
(1283989597092633708, -1308362462577583980330292)
(1283999996971050834, -2669881892308111784744222)
(1284032088771164108, -4883395039906235164613192)
(1284077223881645210, -6882992932213347849613644)
(1284118630380083539, -8305045919316218808255087)
(1284140321610777930, -8960664196117209199433756)
(1284150283078249123, -9246252026085146019942991)
(1284664533045467043, 18840363755785095540467884)
(1284750124773145450, 20000177050820893347430404)
(1284907312387872204, 21974611986495422332495228)
(1286984755192189564, 39951346277186489614390848)
(1288535019340083870, 49482838026579500865720416)
(40924881658643409, 1839549956888699147824623538)
(45980857329885349, 1833466518097279894718467893)

No commentary yet.