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curve #1437

y² + y = x³ − x² − 345950x + 78434532

a-invariants: [0, -1, 1, -345950, 78434532]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/5ℤ
conductor (N): 22847
discriminant (Δ): 5064319276357
Faltings height: 1.7242
naive height: 49.8758
primes of bad reduction: 11, 31, 67
regulator: 9.20833373230874669679512419959304318756483
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:47:19 UTC
last updated: 2026-09-24 23:47:19 UTC

Witness: 2 independent points log in to add more points →

(-597, 8475)
(6773, 555329)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:47:19 UTC · history

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