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curve #4370

y² + y = x³ + x² − 7108017x + 7291715835

a-invariants: [0, 1, 1, -7108017, 7291715835]
c-invariants: [341184832, -6302089590616]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/3ℤ
conductor (N): 100673027
discriminant (Δ): 55644700194629
Faltings height: 2.3397
naive height: 58.9438
primes of bad reduction: 7, 13, 31, 127, 281
regulator: 229.0620627903857912102655874940930612195924562
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:06:34 UTC
last updated: 2026-10-17 10:06:34 UTC

Witness: 4 independent points log in to add more points →

(1539, 3)
(1575, 2460)
(6157/4, 167/8)
(1449, 6051)

Commentary

BASE torsion/torsion_Z3.tsv.gz:29 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:34 UTC · history

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