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curve #1711

y² + xy + y = x³ + x² − 121732199540x + 16414232719649301

a-invariants: [1, 1, 1, -121732199540, 16414232719649301]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/5ℤ
conductor (N): 35844254642
discriminant (Δ): -942548987502372301798967957864288
Faltings height: 5.1770
naive height: 88.1970
primes of bad reduction: 2, 7, 19, 23, 599, 9781
regulator: 478.3069654374144516607289243151089853112888469
submitted by: Michael Rubinstein
submitted at: 2026-09-25 06:14:08 UTC
last updated: 2026-09-25 06:14:08 UTC

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

(10662681/25, 25615123189/125)
(23156697/121, 14856884863/1331)
(26980713/121, 25002317979/1331)
(632935, 438914877)

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 06:14:08 UTC · history

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