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curve #1658

y² + xy = x³ − 7262742615729040x + 238228678792855634292992

a-invariants: [1, 0, 0, -7262742615729040, 238228678792855634292992]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/5ℤ
conductor (N): 2079138718701330
discriminant (Δ): 570242211709735171928957081592282068275200000
Faltings height: 7.7306
naive height: 121.1782
primes of bad reduction: 2, 3, 5, 11, 13, 23, 41, 101, 5088539
regulator: 737.579360303375074889822150915541496874089186939
submitted by: Michael Rubinstein
submitted at: 2026-09-25 02:32:32 UTC
last updated: 2026-09-25 02:32:32 UTC

Witness: 5 independent points log in to add more points →

(49047724, 855805588)
(49011644, 1592748608)
(10453990514/361, 1566928672216292/6859)
(1325513024, 48160707383888)
(180333824, 2189206168688)

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 02:32:32 UTC · history

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