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curve #1604

y² + xy = x³ − 424296300455x + 106263029369385801

a-invariants: [1, 0, 0, -424296300455, 106263029369385801]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/5ℤ
conductor (N): 167261873982
discriminant (Δ): 10561669517931046704962264902136832
Faltings height: 5.4375
naive height: 91.9347
primes of bad reduction: 2, 3, 7, 31, 41, 71, 44131
regulator: 156.0800447618303658608728628375294319892938098
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:26:51 UTC
last updated: 2026-09-25 01:26:51 UTC

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

(7721694/25, 8529609537/125)
(610654, 273330805)
(351370, 23457289)
(3111490/9, 803767567/27)

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 01:26:51 UTC · history

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