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curve #1543

y² = x³ + x² − 3107365x + 2107263900

a-invariants: [0, 1, 0, -3107365, 2107263900]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/6ℤ
conductor (N): 6352540
discriminant (Δ): 37525009627250000
Faltings height: 2.3328
naive height: 56.4615
primes of bad reduction: 2, 5, 41, 61, 127
regulator: 28.495284945202957502492962922511115427261224
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:52:51 UTC
last updated: 2026-09-25 00:52:51 UTC

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

(-2005, 16775)
(-785, 63745)
(-11945/9, 1685125/27)

Commentary

Torsion Z/6. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:52:51 UTC · history

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