curve #3914

y² + xy = x³ − x² − 15328437949868516415844134x + 21742703900122690277502307490418415640

a-invariants: [1, -1, 0, -15328437949868516415844134, 21742703900122690277502307490418415640]
rank (lower bound): ≥ 19
torsion subgroup: trivial
conductor (N): 288666881892595582037036912164365032471614877952672284753561712392610
discriminant (Δ): 26275542090671147110443738633621121624438154747044553879337012918396834487500
Faltings height: 13.4131
naive height: 185.5889
primes of bad reduction: 2, 3, 5, 29, 31, 199, 17928406206821748219346448728897548704566888201523765456472929
regulator: 75012953454404782912.03670871492684446600328837755675626849803756436555523253
submitted by: 7fff-zip
submitted at: 2026-10-04 15:32:59 UTC
last updated: 2026-10-04 15:32:59 UTC

(1515040511, 4660416364669053357)
(1795527472910, 93312608474143020)
(1796105903026, 73736596541388472)
(1796849413331, 35198964965719992)
(1696060123516, 789728164151901772)
(1721500794409, 675695275536160897)
(1741739654086, 573057957544676182)
(1768894985836, 403930614369032932)
(1793566843934, 140778229578421222)
(1796909033386, -30044987527668368)
(194676931036, 4331972747036167132)
(2695412554034, -95304748709423978)
(2700277139111, 201827736749176957)
(2715875936351, 380551433469285172)
(2717033048086, 390765999930338932)
(2741406318206, 568981704210552742)
(275507921734, 4188139083885814372)
(2755782620386, 655136212876968232)
(361738336786, 4030527747921927832)

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