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curve #1536

y² + y = x³ − x² − 192320898x + 1026632366298

a-invariants: [0, -1, 1, -192320898, 1026632366298]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/5ℤ
conductor (N): 5994175
discriminant (Δ): -266227506324720875
Faltings height: 3.1388
naive height: 68.8376
primes of bad reduction: 5, 11, 71, 307
regulator: 226.90463691658765678974644839586649164662491
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:51:41 UTC
last updated: 2026-09-25 00:51:41 UTC

Witness: 3 independent points log in to add more points →

(2482, 751382)
(-5193, 1373057)
(1240732044393/154952704, 55010557346229/1928851259392)

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 00:51:41 UTC · history

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