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curve #4419

y² + y = x³ − 2324077x + 1272484926

a-invariants: [0, 0, 1, -2324077, 1272484926]
c-invariants: [111555696, -1099426976280]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 103897289596322300437
discriminant (Δ): 103897289596322300437
Faltings height: 2.5863
naive height: 55.5901
primes of bad reduction: 181, 519732341, 1104449597
regulator: 935837.1283626651129411758968756028268847087909238117461629
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:07 UTC
last updated: 2026-10-17 10:23:07 UTC

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

(1061, -1015)
(199, -28599)
(1566, 38384)
(613, 8841)
(685, -1383)
(477, 16505)
(591, -10266)
(1156, -11431)
(504, -15139)
(673, 3633)

Commentary

BASE records/rank_10.md#27 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:23:07 UTC · history

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