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curve #1554

y² + xy + y = x³ − x² − 125900879104137x + 543790447241769728649

a-invariants: [1, -1, 1, -125900879104137, 543790447241769728649]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/7ℤ
conductor (N): 11233912690
discriminant (Δ): -23700931660327797192256499618938880000000
Faltings height: 6.7777
naive height: 109.0133
primes of bad reduction: 2, 5, 7, 11, 13, 1122269
regulator: 43.849762225875659626857717906790609013300378
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:54:42 UTC
last updated: 2026-09-25 00:54:42 UTC

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

(28554247, 142219151356)
(1865545703/289, 1194880707388/4913)
(1865547383/529, 145806230120932/12167)

Commentary

Torsion Z/7. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:54:42 UTC · history

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