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curve #775

y² + xy = x³ − x² − 3401281x + 2458689193

a-invariants: [1, -1, 0, -3401281, 2458689193]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 45699589163661074878
discriminant (Δ): -91399178327322149756
Faltings height: 2.6209
naive height: 56.7682
primes of bad reduction: 2, 977, 6691, 3495398588677
regulator: 631117.1743025258788817719229576408234401457180349943439461
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:38:02 UTC
last updated: 2026-09-18 12:38:02 UTC

Witness: 10 independent points log in to add more points →

(1166, 8193)
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(644, 22809)
(1417, 21263)
(1219, 10472)
(2734, 115209)
(1198, -10711)
(1596, -33869)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:38:02 UTC · history

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