curve #3903

y² + xy + y = x³ − x² − 186709592556645100322121751423913687x + 19383704514376872143944976579593574957394983753497711

a-invariants: [1, -1, 1, -186709592556645100322121751423913687, 19383704514376872143944976579593574957394983753497711]
rank (lower bound): ≥ 24
torsion subgroup: trivial
conductor (N): 17719105396940647827443237325000708732221145866589819303079883918804390770328209605066695190
discriminant (Δ): 254247712632673524934016758119657455209419637327654315119890484929988773871615081175488649382824492032000000
Faltings height: 19.3103
naive height: 255.2582
primes of bad reduction: 2, 3, 5, 11, 17, 29, 3300403145774664928362220271123685449781075715031528507103095107222769977169483811947
regulator: 176653198995111688912937131.34538750266105864208052257762314216639968604336931370757354
submitted by: 7fff-zip
submitted at: 2026-10-04 15:24:01 UTC
last updated: 2026-10-04 15:24:01 UTC

(365818449981366319, 6071557303406962859307374)
(29437213630434691, 117953393982876828646597694)
(-467299253537947069, 67745683047064024900715134)
(-6622830522216719, -143596518105334649510502316)
(103230053283524731, -34781152963989899332547266)
(366739578109221331, -15349823333561176443691666)
(370103412351746791, -31262286006686947277336086)
(653392299394546531, 419924175019892007196579934)
(-115920197069864989, 198669173679155342378545214)
(-126982285773539069, 202595630252771636920879934)
(-133548912718508669, 204784474715233585827958334)
(-323994226641152669, 214163789634467681191882334)
(-230182974023318621, -223975473370892370105700834)
(1136339902071859939, 1128954347916401386842279134)
(2764083415782267145, 4541071946023479635612492732)
(1191941015846644231, -1220760156464042776226067766)
(2395039010875011331, -3648377467227341332462441666)
(344382689014534699/4, -502601091652089147314701703/8)
(22920853760013239419/49, 63616952970753635449358831762/343)
(160457618565746851699/289, -1448073736570828100350484986418/4913)
(1056748708803933350299/529, 33581922957149339692074952607578/12167)
(95284230081311824186339/187489, -19169542572249223332313364889732322/81182737)
(171374392976957827721221/208849, -61757996038536818052636620778153478/95443993)
(56914459316349522452533555/149989009, 103467130506267741755120047678867309106/1836915393223)

X1092, t=530/39

last edited by 7fff-zip at 2026-10-04 15:24:01 UTC · history