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curve #2059

y² = x³ − x² − 2347904x + 1378488384

a-invariants: [0, -1, 0, -2347904, 1378488384]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 1092624
discriminant (Δ): 8396310893438767104
Faltings height: 2.4716
naive height: 55.6207
primes of bad reduction: 2, 3, 13, 17, 103
regulator: 395.39012815521442984002998113689013306162880
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:11:09 UTC
last updated: 2026-09-26 05:11:09 UTC

Witness: 3 independent points log in to add more points →

(-195559/256, 213844995/4096)
(24909352/7569, 112685955200/658503)
(414001/225, 193423076/3375)

Commentary

2-isogenous partner of curve#1115 (David Renshaw); 4-isogenous partner of curve#1161 (David Renshaw).

last edited by Steps Unbounded at 2026-09-26 21:53:59 UTC · history

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