curve #1888

y² + xy + y = x³ + x² − 99250880375355642310648162282893456535330x + 12272139498997467228713524926994454435318365440172542772058927

a-invariants: [1, 1, 1, -99250880375355642310648162282893456535330, 12272139498997467228713524926994454435318365440172542772058927]
rank (lower bound): ≥ 25
torsion subgroup: trivial
conductor (N): 14401567988146118528015321023382386136228147449883390577903452689647618963808228682753843737722210
discriminant (Δ): -2489098129670113383515089476142596847094430611274724185365434637849077106875822214424935533746730492884460435777388544000000
Faltings height: 22.4649
naive height: 294.8480
primes of bad reduction: 2, 3, 5, 11, 13, 23, 29, 47, 109, 127, 137, 12893, 4379494913288837689238828533291615031256705114077145828228755468199494501975027
regulator: 277733072465482099382936972.8354965560185058206809667119509200680034691929777822684721383
submitted by: Ritik Jain
submitted at: 2026-09-25 17:34:15 UTC
last updated: 2026-09-25 17:34:15 UTC

Witness: 25 independent points log in to add more points →

(-2195491206319614112140103903/36228361, 926795482644183109667984839946787652517649/218058504859)
(14505502155852962284490896134091871667394354577707/78279690346866257426423875561, -10806161878633903979749196140073826669877921723572639688337389219253062919/21901489336018760494201065135495301380989941)
(74659627504980093824018897/534361, -415686766563058197118709532405379540599/390617891)
(-61638609756278646711175/289, -23937213650207821588319041666065837/4913)
(40258366172986367994905, -8077388305682288119625288125120509)
(-2981094261208830768107/9, 80122463642186490797977485961397/27)
(-61584293273483314524187/169, -492340241106171938108787443853333/2197)
(35588968008397793174777, -6713610393676055036059891559896989)
(666310019755668685577, 15555105427327336616996321733411)
(-340453155459736247623, -2569251066110384881553691756189)
(-222776443826805178503, -4829766963917667913910804975069)
(1993999624285924507393/9, -29055073996235466021281164201103/27)
(2058584713357294163353/9, 33475011335860654790183564403977/27)
(609793332222667294777, 13360388816731299666616742663011)
(1096843392369548988778817/3721, 666741579549809378975800705195512591/226981)
(37439169175644124849073/169, 2363145578545245811689869411304207/2197)
(-4637312021025971477358673240127/13411261249, -3558298227139062785414068541947941669996195227/1553117931462943)
(-352648908402322990999, 1848511332393453846886289060259)
(157794674394792180425, 734733881043144416267290114323)
(31625985703921089156976253939669172997533943/329538893479894412326609, 360468832355197472489277794205359359190049966988778032823376300353/189173377870333672332661327069554023)
(70737843259512126574729213164667502065/410832127767363129, 141204505238580746912918368794907670360597069591358088039/263327731745672890504433133)
(-583205083436889054889847089089947830242139871/3870831558484267151544025, 37157563115740361082014941676025377725252983139893211660156065448807/7615640060661829833226109916959780125)
(-27960907784074934389646883741227403637/606379432147393969, 1932559496282340530510009498812276145944923845476771504683/472189899534142011101863703)
(12652122589145252740525413479/66994225, 281665295755993166866304333381026510832697/548347731625)
(-3569267818738132490525135/9801, 334770051874751739229052984795512129/970299)

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