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curve #4067

y² + xy + y = x³ − x² − 2914381x + 1907228661

a-invariants: [1, -1, 1, -2914381, 1907228661]
c-invariants: [139890273, -1647216057105]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/4ℤ
conductor (N): 214959742
discriminant (Δ): 14023361747942641664
Faltings height: 2.5200
naive height: 56.2691
primes of bad reduction: 2, 71, 73, 89, 233
regulator: 114.5911457481325262845666781212119676114070944
submitted by: NDElkies
submitted at: 2026-10-09 03:03:07 UTC
last updated: 2026-10-09 03:03:07 UTC

Witness: 4 independent points log in to add more points →

(-1233, 60824)
(-1517, 54008)
(-1665, 47112)
(783, -10632)

Commentary

second-smallest Faltings height of curves of naïve height at most 2^90 with this MW group

last edited by NDElkies at 2026-10-09 03:03:07 UTC · history

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