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curve #1438

y² + y = x³ + x² − 1135090x − 382635350

a-invariants: [0, 1, 1, -1135090, -382635350]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/5ℤ
conductor (N): 31773
discriminant (Δ): 30474994394163109077
Faltings height: 2.4564
naive height: 53.4403
primes of bad reduction: 3, 7, 17, 89
regulator: 1.89084528396734231272545478632346792957874
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:48:19 UTC
last updated: 2026-09-24 23:48:19 UTC

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

(-748, 6961)
(-49810/121, 5161019/1331)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:48:19 UTC · history

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