curve #6462

y² + xy = x³ − x² − 379747169527046405023714x + 88974666293945943608167173573723424

a-invariants: [1, -1, 0, -379747169527046405023714, 88974666293945943608167173573723424]
c-invariants: [18227864137298227441138281, -76874111677887269888838595944211916085]
rank (lower bound): ≥ 19
torsion subgroup: trivial
conductor (N): 356901031577853608754942957090691134272245988238790023614
discriminant (Δ): 84878771921155233596899649988885634570677143674729624135705998695674372
Faltings height: 12.4151
naive height: 174.4950
primes of bad reduction: 2, 7, 13, 17, 19, 31, 37, 113, 563, 72065293, 1154509417768159269740778786416105051
regulator: 21974486564643576.57902320994277696809346237649183707538925545758861028856580
submitted by: apkorte
submitted at: 2026-11-03 18:52:58 UTC
last updated: 2026-11-03 18:52:58 UTC

(-690092668082, -149645998413559540)
(261443608952, 86963012233714900)
(69841840048, 250585490437115480)
(6188897906171, 15322815051891000300)
(4774712515126, 10350317035629637860)
(476158688986, -126936557613505266)
(4611424809639/4, -8702798416250587205/8)
(398327628630, -30191092383976892)
(3517269422578/9, 431037508011132656/27)
(10245924168664/9, -28728212310578131900/27)
(191672553752, -152411687650449252)
(3069133564634/25, -26281272340124786008/125)
(424790006467, -65679392229057772)
(3867505473539, -7514580752229589847)
(148571508793, 189300080363415122)
(175054563118, -166920969943750740)
(-548621084122, 363573102762050100)
(-1044827840605/4, -3301832244996374779/8)
(301081041302, -43965219190005402)

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