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curve #4423

y² + y = x³ − 1344889x + 804658212

a-invariants: [0, 0, 1, -1344889, 804658212]
c-invariants: [64554672, -695224695384]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 124026809008982622011
discriminant (Δ): -124026809008982622011
Faltings height: 2.5619
naive height: 54.5350
primes of bad reduction: 149, 832394691335453839
regulator: 9011904.008786759992819871009344270197229374225055033230321
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:18 UTC
last updated: 2026-10-17 10:23:18 UTC

Witness: 10 independent points log in to add more points →

(-1387, 1323)
(-1383, 4403)
(-1370, 8706)
(-1136, 29435)
(-956, 34880)
(-757, 37268)
(-685, 37476)
(4128, 256116)
(8474, 773249)
(-12359/9, 212500/27)

Commentary

BASE records/rank_10.md#13 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:23:18 UTC · history

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