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curve #1434

y² + y = x³ − x² − 51898x + 4567948

a-invariants: [0, -1, 1, -51898, 4567948]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/5ℤ
conductor (N): 11825
discriminant (Δ): 202136609125
Faltings height: 1.3137
naive height: 44.1847
primes of bad reduction: 5, 11, 43
regulator: 7.75800593589772263385356209714835766415288
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:44:19 UTC
last updated: 2026-09-24 23:44:19 UTC

Witness: 2 independent points log in to add more points →

(692, 17307)
(-254, -1140)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:44:19 UTC · history

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