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curve #760

y² + xy + y = x³ − x² − 44785887x + 113653147335

a-invariants: [1, -1, 1, -44785887, 113653147335]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 20762602312568441306
discriminant (Δ): 170087238144560671178752
Faltings height: 3.2549
naive height: 64.4658
primes of bad reduction: 2, 50617057, 205094918029
regulator: 282658.4563655522548521353135915288919797334556881737793437
submitted by: Michael Rubinstein
submitted at: 2026-09-18 11:16:10 UTC
last updated: 2026-09-18 11:16:10 UTC

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Commentary

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

last edited by Michael Rubinstein at 2026-09-18 11:16:10 UTC · history

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