curve #4181

y² + xy = x³ − x² − 1898224561265629x + 30797071320612548168149

a-invariants: [1, -1, 0, -1898224561265629, 30797071320612548168149]
c-invariants: [91114778940750201, -26608669210992736383904845]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 205970750422012026808488925700682406562215822
discriminant (Δ): 28012022057393635645954493895292807292461351792
Faltings height: 7.6815
naive height: 117.1527
primes of bad reduction: 2, 17, 479, 12647104901265628564932391360719784266377
regulator: 33243465465211.37852876403281058163139442294914559594734345311625804907
submitted by: Andrii Prokhorenkov
submitted at: 2026-10-11 23:01:43 UTC
last updated: 2026-10-11 23:01:43 UTC

(36350161, -99149466760)
(395569530, 7821359570887)
(-50106353, 10552827425)
(-139021389/4, -1872413938451/8)
(-30086182, 246336052687)
(215254954/25, -15356371257693/125)
(45242151, -193726790071)
(6522882220924446/189420169, 206309699554882634616821/2606989785947)
(438057242458/529, -289543435278555879/12167)
(2580406653, 131058873141160)
(1542325921629/10609, -1837495468312953640/1092727)
(4443029119/25, -287965422979632/125)
(-1596350885/36, -35995359439973/216)
(16212494750/529, -456640489174219/12167)
(9828632289/121, -854962309806392/1331)
(477003681/25, -4882331342536/125)

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