curve #3882

y² + xy + y = x³ − 4476836485051880681570900027347918x + 115525481555818683337975947888936608498342485229108

a-invariants: [1, 0, 1, -4476836485051880681570900027347918, 115525481555818683337975947888936608498342485229108]
rank (lower bound): ≥ 23
torsion subgroup: trivial
conductor (N): 18484066092964506616210845702314933797634001556470113862097327984184218945621414229970
discriminant (Δ): -23128099613582499946582681963992955460669873503874875160261362873584536825319166038451118772651562500
Faltings height: 18.1387
naive height: 244.0703
primes of bad reduction: 2, 3, 5, 7, 19, 23, 1693, 8224023817, 106726687019, 19363523866667123296357333571737598499141818584018026557
regulator: 4449245202921344580416103.30768985302160009325814802962827056037127900250770095064399
submitted by: 7fff-zip
submitted at: 2026-10-04 14:01:17 UTC
last updated: 2026-10-04 14:01:17 UTC

(-73905316548392633, 6535822057982324798206727)
(-71912203407569381, -8098172955116702046834685)
(-62474272434636611, -12303386883926658426580225)
(21009417555582544, 5544656834392047558307115)
(21970604983580644, 5269919438668873354970015)
(37875509210249869, -545427163449836989251685)
(37959803536498932, 532636038316124456294575)
(38267255773649389, 497140152079239435555335)
(38373556238312719, 489439175150599399288865)
(39012255887229022, 498931063060404328989545)
(39419383973543719, 551947713201257239789415)
(40829190160397944, 896137822847895677097140)
(41780169518954619, -1188793433600289183142685)
(41882336778593119, 1221547036415198313102815)
(45421740135036994, 2427125062218253836825440)
(66043798414224349, -10388788835780643006925105)
(87628096514599869, -19902191460174508242573185)
(145676534733782959, -50545546790610602695528465)
(150422142010385389, 53344962205374021274093835)
(205653106171430719, 88840182914460831687777665)
(587310240267548242, 447290848741420557673057280)
(984219113913167164, 974222693898215057193689975)
(-3048914378951719589/49, -4245179228537636483171614825/343)

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