curve #6433

y² + xy + y = x³ − x² − 5328196518575421772029096236714996552x + 4775938914991590965957950048745831436611444269593319051

a-invariants: [1, -1, 1, -5328196518575421772029096236714996552, 4775938914991590965957950048745831436611444269593319051]
c-invariants: [255753432891620245057396619362319834481, -4126411222552734593436778394104107258474003061798188405129]
rank (lower bound): ≥ 24
torsion subgroup: trivial
conductor (N): 243504139068886039268159949625082778697463307903824667017745781645266135991602846690
discriminant (Δ): -172733777675526409448340800695721174636902500898915305056546602327252885488807517669396854714681555181824000000
Faltings height: 19.9703
naive height: 265.3295
primes of bad reduction: 2, 3, 5, 7, 13, 19, 23, 29, 37, 61, 73, 181, 2029, 29683, 400408374910777889, 3262248389083515444625419648209208957244109
regulator: 192640566587473958732185.56268375664765237001935385380560506927536010480703952197112817
submitted by: apkorte
submitted at: 2026-11-03 01:18:53 UTC
last updated: 2026-11-03 01:18:53 UTC

(1858639424467285901, 1137316133619664122022441049)
(1460311457035555201, -330515694675465775043261551)
(797376584594517781, -1017024737004429191066085271)
(372445454899282435909/9, 7176819714293742403101748293523/27)
(1546633763974726861, 484598581207260764052861209)
(509067715483242301, -1481705420715083312549805751)
(1023629062213525901, -628026661293028980858878951)
(7057794406987682701, -17853199668059892861397016551)
(1678063493539377301, -748425652650771468069450751)
(241481277186946117741/841, 44100923280517509654166257894061/24389)
(1312875844863599821, -208824443584827522680143591)
(118218216036997209301, -1285122201873723091644598089751)
(4956093395922395839/4, 2209817682760533898391185087/8)
(3476296659873220141, 5316327254411220134423765369)
(1542773054893432621, 477252735487989853813086809)
(11227908886655711059/9, -7164595325159742859713109877/27)
(1320975950294985901, -206380027882756105247158951)
(1759920346674344701, -921831483281113203349404151)
(-930784902284178599, 2988134616844756521880378049)
(1306144132989195661, -211765213762070616566837671)
(155183785216823899669/169, 1781580075958380692815004347853/2197)
(1391849545414242901, -237159870737699402064028951)
(-250653176141584859, 2468951296666944033861284489)
(1542445949420059951, 476631799150672974337698599)

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