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curve #1603

y² + xy = x³ − 14302080520x + 1569666981646400

a-invariants: [1, 0, 0, -14302080520, 1569666981646400]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/5ℤ
conductor (N): 118334610030
discriminant (Δ): -877155786109327392429453619200000
Faltings height: 5.0086
naive height: 83.5024
primes of bad reduction: 2, 3, 5, 7, 13, 19, 449, 5081
regulator: 50.11721682192583068096550418096577878650974845
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:25:40 UTC
last updated: 2026-09-25 01:25:40 UTC

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

(72800, 30201080)
(313040, -166795720)
(2628080, -4257558760)
(-148960, -19795720)

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 01:25:40 UTC · history

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