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curve #4352

y² = x³ − 7062984x + 11128470561

a-invariants: [0, 0, 0, -7062984, 11128470561]
c-invariants: [339023232, -9614998564704]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/3ℤ
conductor (N): 948475633644
discriminant (Δ): -30950213146024466525616
Faltings height: 3.0140
naive height: 59.7887
primes of bad reduction: 2, 3, 7, 11, 17, 23, 32411
regulator: 154.288639049100938404395457806814453395573944642
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:05:55 UTC
last updated: 2026-10-17 10:05:55 UTC

Witness: 5 independent points log in to add more points →

(-3110, 54901)
(8643, 771834)
(-3138, 48909)
(-2696, 102833)
(-11175/4, 761277/8)

Commentary

BASE torsion/torsion_Z3.tsv.gz:145 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:05:55 UTC · history

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