curve #4895

y² + xy = x³ − 129960015546489575x + 16568566845168962177287881

a-invariants: [1, 0, 0, -129960015546489575, 16568566845168962177287881]
c-invariants: [6238080746231499601, -14315241763583104440523978585]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 21692458335018891328227511182942
discriminant (Δ): 21886778236263362386650604869857482989216626617761792
Faltings height: 8.7827
naive height: 129.8316
primes of bad reduction: 2, 3, 7, 47, 113, 149, 313, 337, 401, 3217, 1911961, 2508697
regulator: 205679255.978401631843593907282395526256467311924833654477956
submitted by: Ritik Jain
submitted at: 2026-10-20 22:32:01 UTC
last updated: 2026-10-20 22:32:01 UTC

(83914798, 2500738054333)
(-97509866, 5321120994565)
(9346854, 3918498373605)
(134518684, 1233086967151)
(140857366, 1028260188421)
(75310978, 2684789251009)
(-405856410, 1569036103989)
(149630950, 687440003509)
(679580014, 15559226172925)
(-1036718426/121, 5596765744446335/1331)
(-311470634, 5179952736421)

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