curve #6354

y² = x³ + x² − 37386103396522680168472761x + 84516490191608995842062175352130441739

a-invariants: [0, 1, 0, -37386103396522680168472761, 84516490191608995842062175352130441739]
c-invariants: [1794532963033088648086692544, -73022247525560939605319918036129221817728]
rank (lower bound): ≥ 19
torsion subgroup: trivial
conductor (N): 360077262304296777551450629825207004568766303012270481880
discriminant (Δ): 258549190659201737513806854479450247761986102793386179997961410199825337734400
Faltings height: 13.6166
naive height: 188.2636
primes of bad reduction: 2, 3, 5, 7, 17, 19, 23, 41, 73, 460760797211581867667, 2202166819462704385374847
regulator: 11300397685239634.67405286770515645302695217191223070126922979802744547214833
submitted by: apkorte
submitted at: 2026-11-01 08:19:15 UTC
last updated: 2026-11-01 08:19:15 UTC

(4088526883119, 80185310301720750)
(1163054227587, -6527456041996708098)
(6426764813679, -10473367646613392430)
(-286100791746, -9756498633006086955)
(4757542149927, 3785990327605360098)
(2789696473179, -1389662233111998930)
(334272103608702, -6110517978386166692277)
(11753830367181/4, -1413533198233729965/8)
(2513247846879, 2535875011117765170)
(2701308140517, 1799090781672979998)
(21132161633541/4, -46959781160310174135/8)
(-5664220026171, 10702907739207040770)
(13500902567181, 45173430935320214250)
(8536903545429, -19685363928899669070)
(1096364801007, 6696680533584426798)
(4214507369331, -1345684509133213410)
(86157872158953/64, -3098612811471731393301/512)
(216776615529747/121, 6423075859882091635638/1331)
(-6767789103285, -5249087209343685582)

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