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curve #4482

y² + y = x³ + x² − 1863480x + 494369610

a-invariants: [0, 1, 1, -1863480, 494369610]
c-invariants: [89447056, -427672025560]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 308300047454008759397
discriminant (Δ): 308300047454008759397
Faltings height: 2.6278
naive height: 54.9275
primes of bad reduction: 342131, 901116962374087
regulator: 1618644.283345133033435880933536956823529762898630067924272
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:30:55 UTC
last updated: 2026-10-17 10:30:55 UTC

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

(-14, 22813)
(1206, 1586)
(-1474, 6386)
(129, 16004)
(264, 4569)
(4572, -295914)
(-1321, 25545)
(270, 3314)
(-310, -32286)
(4828, -322583)

Commentary

BASE records/rank_10.md#16 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:30:55 UTC · history

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