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curve #1606

y² + xy + y = x³ + x² − 276349027940x + 55912600038925797

a-invariants: [1, 1, 1, -276349027940, 55912600038925797]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/5ℤ
conductor (N): 51915628310
discriminant (Δ): 152029554368921998372736204800000
Faltings height: 5.2320
naive height: 90.6484
primes of bad reduction: 2, 5, 7, 13, 19, 3002639
regulator: 84.02924206195074615906915558058377398565367756
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:28:53 UTC
last updated: 2026-09-25 01:28:53 UTC

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

(-164643, 311447921)
(1432407, -1612879029)
(353017, 48302181)
(365341, -61130831)

Commentary

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

last edited by Michael Rubinstein at 2026-09-25 01:28:53 UTC · history

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