curve #1893

y² + xy = x³ − 147434506522834038787009050792036647501739375x + 662638794895867555545667742244589807816157219274246301076511408057

a-invariants: [1, 0, 0, -147434506522834038787009050792036647501739375, 662638794895867555545667742244589807816157219274246301076511408057]
rank (lower bound): ≥ 25
torsion subgroup: trivial
conductor (N): 60889550500380412587539306573926796105594694299555633079250971213106123241187239493513720725625270
discriminant (Δ): 15418587584432427658321256125358668407987790489383714000331061798196990778924694026442582355653882279039434701560241604973952000000000
Faltings height: 24.3199
naive height: 316.7195
primes of bad reduction: 2, 3, 5, 7, 11, 19, 43, 47, 127, 157, 10391, 102551, 115421, 279914517383357666050413639762496168527113088409267909136956592268985777
regulator: 158734324852921505081630366.4328513032254786120344794803416263053244850256169351873539427
submitted by: Ritik Jain
submitted at: 2026-09-25 17:37:48 UTC
last updated: 2026-09-25 17:37:48 UTC

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

(-20670728256124200007455436261500574676466016723447306/2217215477888307360045138747961, 3656853868557120149197878322888501084096674536101778779631446305772882712724743/3301504187611521724837334199426319122766390291)
(332505016510370164165854, -191607037698669764808022308101192427)
(-69589930060952218756147986/5041, -92734869777125982160718735490537002997/357911)
(-26309111123791267419313809/24964, -3564852646137699023422288311640755547809/3944312)
(19798187696290847422854, 2346052742427584614454748304104573)
(-14824223017208807207564394/4489, 317373326410674472472583066129165197199/300763)
(1201152662574756532345616874/11881, -41341234974582065120365262265347858855883/1295029)
(-7834093604713585808646, 1156223384843463709613719302743073)
(-55749592049424577265709/4, -805493488842080580609667691572041/8)
(-3248847783809887333296034746/724201, -684548938587683742522640754901345344686977/616295051)
(23212911056284553125104, 3122223895436665246381071533595573)
(-138983586174269603646, 826515025072528179933650581455573)
(-2239172925924892619591424/169, 1183356972177906296599038220770541881/2197)
(-7106717406791308629222234/529, -5690078788730744240715781885384356309/12167)
(2377516348054428822054, -570569852170240043429260162492227)
(116306697790677500230076374/19881, -51851601726728170372758782292017274367/2803221)
(704815581935440391047876252206/143592289, 411604800084264951099895788710037588529434051/1720666399087)
(1882316567258914305917816154949384/448593192441, 103155342891367622258978365295737818531370274061673/300454711094401011)
(30543276396797555631268157221536004374/5224758505165081, 8723783833487224259778615477454637175762525128260795383/377658559626768420896771)
(1447885689906766102837355476086/405901609, 3489830531591109205409206796537646632272487679/8177699716523)
(754316906238601297013552346414/256288081, 2068619035201312155354094367938366110894098877/4102915888729)
(635467591005693282756275715372913679405158694502/127204211086092009171572449, 323300134692009814566186140362611771748175056589700100682260666411128147/1434670714437520739346492240318148828207)
(208486855915610401944348419867157831442209332394/96652068027357485227385161, 565867499855790914832433644346764042642050605326142912808489244223521543/950203720039074489772502445682644060091)
(1491970622869160616335391973391490702/177941486559841, 299403160508189599159854132000984325437682940545175043/2373645299661888784111)
(22748068962667610802278998954754166/221631195122089, 2655025325075473962231016965542958356613653272462858431/3299486323410758494187)

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