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curve #1466

y² + xy = x³ − 43776600200x − 3369355023960000

a-invariants: [1, 0, 0, -43776600200, -3369355023960000]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/8ℤ
conductor (N): 1008210
discriminant (Δ): 464864122347932160000000000000000
Faltings height: 5.0270
naive height: 85.1207
primes of bad reduction: 2, 3, 5, 7, 4801
regulator: 9.25181306619454815559551950134750423565274
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:10:19 UTC
last updated: 2026-09-25 00:10:19 UTC

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

(-52828400/529, 31477526600/12167)
(-16972400/169, 8375920600/2197)

Commentary

Torsion Z/8. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:10:19 UTC · history

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