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curve #1321

y² + xy + y = x³ − 9641629029x + 364396545204956

a-invariants: [1, 0, 1, -9641629029, 364396545204956]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/3ℤ
conductor (N): 7155067330810
discriminant (Δ): -387933295002563872173108700
Faltings height: 4.3146
naive height: 80.5817
primes of bad reduction: 2, 5, 7, 37, 43, 73, 97, 211
regulator: 1511.8996430025164636515679165409216317708306604082
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:31:48 UTC
last updated: 2026-09-24 17:31:48 UTC

Witness: 6 independent points log in to add more points →

(96558, 18218518)
(56679, 7108)
(117025, 28902292)
(61454617/1089, 3021152236/35937)
(54033, 1061098)
(4682319/100, 3926391433/1000)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:31:48 UTC · history

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