curve #532

y² = x³ + x² − 185948271755845297490315383945x + 30757232937977524123294424883721361408416475

a-invariants: [0, 1, 0, -185948271755845297490315383945, 30757232937977524123294424883721361408416475]
rank (lower bound): ≥ 20
torsion subgroup: trivial
conductor (N): 41539742395211571844241912519635236850745080486249904066356241880
discriminant (Δ): 2812090908997791827487118172236893927461479836132016227906220357709798261981226036000000
Faltings height: 15.6371
naive height: 213.7994
primes of bad reduction: 2, 3, 5, 7, 11, 13, 19, 73, 109, 2287417905841513890059784252424716939791073754866181603
regulator: 1006800610510070327.42810672460700825722475620147576779193194373313417321048971
submitted by: wgxli
submitted at: 2026-09-02 17:54:45 UTC
last updated: 2026-09-02 17:54:45 UTC

(18580113206828071258790/43652449, 1545688164661405321519857589469775/288411730543)
(261001902971423, 65954948556310119306)
(2179780791756946535/10201, 909996948999840734442760350/1030301)
(186951331463510, 1589985725851113215625)
(17028021823096442885/73441, 6535938605805830435018955150/19902511)
(-298362092844202, -7725087269415950002569)
(232562487579035, -301421098745490073350)
(422102224710136671815/2181529, 4581887938105155952621066884450/3222118333)
(157788802770022504118965/732947329, -16643957323776504190301486995190850/19843083038017)
(519161550363500015/2209, -19926760264184415282991350/103823)
(3366130395990596815/12769, 347182390403854276789274250/1442897)
(181509820914035, 1727942252748637775850)
(2404654330784042474765/7845601, 35141019512559400665884263574970/21975528401)
(18700820963834819885/78961, 1091954201161070936044506150/22188041)
(4321950739886855, -282768335836356898981530)
(902072899648918208951990/3458968969, 4666858318266385895585631016132725/203432341973797)
(20779785860455235, -2994806829339876204804150)
(864909338833301822477213441375/3200837326339249, 88942442994678650364352887321606718477180230/181090390127241750086807)
(38333254746466337583847828381445/146637145617425401, 6178195773812434751206218776694220205975190510/56152099290078483265926899)
(10812097329637503286991894645/41440260382921, 13676399716118388760642496326288495057890/266767988031879857531)

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