curve #1943

← home · all curves · JSON ↓

y² = x³ + x² − 393549694985374126321812621191825x + 3033822938619289962236856404446250199859600296723

a-invariants: [0, 1, 0, -393549694985374126321812621191825, 3033822938619289962236856404446250199859600296723]
rank (lower bound): ≥ 22
torsion subgroup: trivial
conductor (N): 12944253570738788652600103366982409025665180532951069508595007803221576258128949880
discriminant (Δ): -75138432896142775171194814129554987548657936062694068427661237851899318275727224784362111237600000
Faltings height: 17.5954
naive height: 236.7910
primes of bad reduction: 2, 3, 5, 7, 17, 37, 71, 197, 1751549864034652535308221158664885867039031042781166473498615429015734409
regulator: 26952258365283718456175.31014367319733972654191525452589466618049797578557164775962
submitted by: Ritik Jain
submitted at: 2026-09-25 20:01:07 UTC
last updated: 2026-09-25 20:01:07 UTC

Witness: 22 independent points log in to add more points →

(-1852617684091488089/121, 3113000687327915091155288850/1331)
(14196141788369383, 554878718762327514940518)
(14402820333343937629831/1256641, -239080997104701504061593433167450/1408694561)
(49147894867851251444108033127371034168841/7067550744697773183959296, -14952960522300715794909776720763134739462546778765530538680165/18788988607077271768362243774030278656)
(53692359179889391, 11691504287114201634402150)
(42846402203814127/49, -562600016268602276395343466/343)
(8455672361370241, -557371207625652834400350)
(356576235827742124129/34969, -1861949103009138180582954379950/6539203)
(21381506266211241, 2096209781841707756010150)
(777454731100022101/36, -463610003659498001073818575/216)
(23866720128129091, 2689990985026778472334050)
(1575886567107520351/361, 8112873705028788022548961950/6859)
(137804316977079091, 50652828735323961095734050)
(15284921273113321, -767753169281876587406490)
(-4108190827800959, 2140389052635928620780450)
(7157962327032861961/625, 2651749419975767899303568166/15625)
(1704242676542843972564971/40436881, 2013399155833523814067490621716671150/257138126279)
(13014240897612949751930611/1645194721, 43022682329936225006300787022152239550/66730743078481)
(-6897884970702905569979/401956, 554458279104658294583236445043975/254840104)
(-414527812061365821612848396508772571069/18122757338502899083225, 638693635907613702372723803664859146261142252783635008154/2439699925926197936449090936404125)
(128014166827706903966698639/6284842729, 927908893954267399220001163916456239650/498243477026933)
(66724269646702003777381291/5703119361, 75706412256589912010642994714808590430/430693871023359)

Commentary

No commentary yet.