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curve #1535

y² + y = x³ + x² − 17745530x + 24226318256

a-invariants: [0, 1, 1, -17745530, 24226318256]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/5ℤ
conductor (N): 5119455
discriminant (Δ): 103969797753824658253125
Faltings height: 3.1375
naive height: 61.6885
primes of bad reduction: 3, 5, 11, 19, 23, 71
regulator: 5.4532775811801283499658959919227426480887421
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:51:31 UTC
last updated: 2026-09-25 00:51:31 UTC

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

(-1155/4, 1369991/8)
(3190, 9487)
(-28655/16, 14348863/64)

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 00:51:31 UTC · history

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