curve #4897

y² + xy = x³ − 10455088461805561x + 334576760664626995112441

a-invariants: [1, 0, 0, -10455088461805561, 334576760664626995112441]
c-invariants: [501844246166666929, -289074321967004093027149417]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 350994032023955239500892170090
discriminant (Δ): 24782597883641792533441573768195020460943724134400
Faltings height: 8.1945
naive height: 122.2712
primes of bad reduction: 2, 3, 5, 7, 11, 23, 41, 79, 313, 439, 2017, 7753, 949214641
regulator: 36552571.4913318785769805730010727689777603175345468269528069
submitted by: Ritik Jain
submitted at: 2026-10-20 22:32:07 UTC
last updated: 2026-10-20 22:32:07 UTC

(-40936174, 833068158947)
(-64858534, 860173495667)
(-104149654, 542033297027)
(124966346, -989805104173)
(-16747534, 710625263267)
(308524538, -5145693217453)
(1149377786, -38817136000333)
(90655286, 363007557167)
(31366826, 193620426947)
(22716758, -329850795313)
(-91521982, 724500077507)

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