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curve #1598

y² + xy + y = x³ − 100721x + 12290520

a-invariants: [1, 0, 1, -100721, 12290520]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/3ℤ
conductor (N): 38083486
discriminant (Δ): 47656227207932
Faltings height: 1.5857
naive height: 46.1739
primes of bad reduction: 2, 7, 19, 113, 181
regulator: 42.72006893326489212027836819533271132683041815
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:24:50 UTC
last updated: 2026-09-25 01:24:50 UTC

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

(-139, 4928)
(-365, 860)
(426, 6623)
(116, 1415)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 01:24:50 UTC · history

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