curve #3817

y² + xy = x³ − 50230882440828299893185570927517990471588x + 4332053134706599459595162947338378246361179995773606757138192

a-invariants: [1, 0, 0, -50230882440828299893185570927517990471588, 4332053134706599459595162947338378246361179995773606757138192]
rank (lower bound): ≥ 24
torsion subgroup: trivial
conductor (N): 399997428327451036182612352944096261333089640644864731222809547606635484986926323400550
discriminant (Δ): 4128459267034906779504987762523708407507752706360296354109580754106773363106969026225431414665410139467137423158804480000
Faltings height: 22.1229
naive height: 292.7659
primes of bad reduction: 2, 3, 5, 11, 13, 17, 19, 23, 37, 41, 89, 107, 9331432661, 291793610263341551526619, 3753765633955332973095075429250997227
regulator: 691530180225554039432300.83526621284074654116359599435909914202726930573170173532992469
submitted by: 7fff-zip
submitted at: 2026-10-03 04:56:46 UTC
last updated: 2026-10-03 04:56:46 UTC

(182744293899415357352, 1120481524203328478327483984444)
(127569951085683129032, -13678184269947982607798104036)
(132284933288635658312, 46458670087411959286099793564)
(126996160005900823232, -33483590628093155724967349596)
(536024659622804405192, -11463811420673667146457071823076)
(-200331786737038497298, 2520915522092925678061019873144)
(4807705494288950477288/49, 202378329821642151781009205386532/343)
(9482400537305151935873/64, -193073614824304763674417335953627/512)
(132883524448420776392, -60480105839396666180641535716)
(119219722093019324162, 195069190442907910227288969014)
(20982636018868234837064/169, 213123757240110503020962993264908/2197)
(172396817831360673992, -892276042197681812793364085476)
(76784162582955231452, 963234935899058206699541693144)
(-157458757454879723017912/2209, -285284141031548179555981396228024028/103823)
(-120661580339524919608, 2938750187428387644393008352284)
(-94525351516290863288, 2869766011596416889261804990364)
(156861144995385284552, 558939682196595813807729154844)
(125383872876398675912, 71308578095868889274071895324)
(170354947445398962632, 847827835220886809317981778204)
(138519206224135829192, -178768579859718361805698575076)
(211426069649908067912, 1778451071773253378290735319324)
(164434112372570798792, 720032656769991278515530797084)
(124972442650671015368, 80066182465950158953084855580)
(125062636324699844552, -78160737952631076419484925156)

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