curve #1901

y² = x³ − 3848794475019052439925270589273583595193047x + 673763132886633492804118551038318040624498227418245812059540986

a-invariants: [0, 0, 0, -3848794475019052439925270589273583595193047, 673763132886633492804118551038318040624498227418245812059540986]
rank (lower bound): ≥ 26
torsion subgroup: trivial
conductor (N): 624686615628491748380960870550744855974875940110517583067764292156069158999647792868561249482409688501910280
discriminant (Δ): 3452724926515942414949864596072969485077763262109782175991064850109229127628361968813808383973085148972276043751395271143015200000
Faltings height: 23.5468
naive height: 305.7826
primes of bad reduction: 2, 3, 5, 13, 19, 23, 31, 47, 59, 73, 331, 147052527556601067714466678388953575845938697631088510340136121964071811453515619813134420757
regulator: 59376646222875592828009581349.9778738221354744327869545538650943548424341100776003842707705
submitted by: Ritik Jain
submitted at: 2026-09-25 17:48:23 UTC
last updated: 2026-09-25 17:48:23 UTC

Witness: 26 independent points log in to add more points →

(-1999541334851461621393, -19367227335677164549697226552100)
(224468689348271556395903458455755591023/90607229801089, 3363051515975429714484564139388727878946685321800847388700/862470558707699354687)
(-7932559125386069033636573/349281, -5695094546961281698654461435504872361940/206425071)
(-926901272793289683329822/729, 1166437599080175199522303683316326550/19683)
(282285115951076723585475058/97969, -3563658205478946098126560059081279434550/30664297)
(19487304973311817617133678/289, 85989269926757614684912455571689451140/4913)
(8099649225644970164460241/81, 23047077608196208603675200949514544170/729)
(188734467453835068307945/9, 81636428473483996639076186928435202/27)
(36331332591470105113243/9, 6092693065347707675608470429745060/27)
(9902986059364259608322/121, 25229911267717151004258132384873650/1331)
(145475698893709935986, -10813685541306400667917785697630)
(-14930543146101576083, -27041161153378802789685405736890)
(9483559918973045330833/64, -5288740489513214243235987262868295/512)
(13110181698229845963017233/144, 47458325143614278300611153306987999225/1728)
(138068717050619847465877, -51297847649096875145668404048638430)
(129451439071779657415057, 46570458405434347433255248450344150)
(39143182990757061877005232941382633357842463417800478/17980248409301976073699781866369, 3896967854751807564982699910005569218949639303987919166238507282972779903627640/76241868503493671433828971305923579065689651903)
(-2042508740020588437743, 3733073203860945144571887998550)
(39142712440107745061, 22872928323513332556752185620110)
(2110588232883084809902, 44185208028019285161180959348220)
(-3798764856128947307403206182733/3858770161, 14198503668149213797281429584081350922926686660/239702943631159)
(-283816034206942375214507/289, 290921492422187710704135139901113890/4913)
(-2946772563033489874018800562805776169351301467/1451140835440914240982129, 18809136476550251672500459465125159182535398032896054421324809088110/1748092240866399275060940004783428617)
(-8515740535247758491831498693645004347338457179939/16833038452400269891057875625, 109009214753607915407450411681660616343991333783739090279215829526294831434/2183955440951511720595290332707217595296875)
(-297966558137636798587068668501998551959/689244659097760000, 27183799182036826140175386963193418077177972493644590068661/572216154242369494976000000)
(7137360746333319532877453549404295257/2236605715930756, 15287640209662389820620939205894025932578930696464966565/105775270757775715711096)

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