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curve #1523

y² = x³ + 64084x + 46225200

a-invariants: [0, 0, 0, 64084, 46225200]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/4ℤ
conductor (N): 279616
discriminant (Δ): -939927620727341056
Faltings height: 2.1287
naive height: 48.8212
primes of bad reduction: 2, 17, 257
regulator: 41.275483273150587295797878080448924221711565
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:49:30 UTC
last updated: 2026-09-25 00:49:30 UTC

Witness: 3 independent points log in to add more points →

(-28, 6664)
(788, 24208)
(-283, 2329)

Commentary

Torsion Z/4. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:49:30 UTC · history

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