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curve #3467

y² = x³ + x² − 65346333705x + 4613169318282679

a-invariants: [0, 1, 0, -65346333705, 4613169318282679]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/2ℤ
conductor (N): 79424842446432182848
discriminant (Δ): 8664823619816133447003307424387072
Faltings height: 5.2191
naive height: 86.3225
primes of bad reduction: 2, 17, 127, 271, 353, 577, 593, 1033
regulator: 535232.08054279260403774813860864809914702625613212215247
submitted by: Michael Rubinstein
submitted at: 2026-09-27 05:42:57 UTC
last updated: 2026-09-27 05:42:57 UTC

Witness: 9 independent points log in to add more points →

(2418159, 3739888888)
(234441, 46678124)
(59375, -30701048)
(289385, 99685348)
(4397, 65771776)
(225227, 36340016)
(-253901, -69547272)
(60531, -29656024)
(1870405/9, 79572104/27)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-27 05:42:57 UTC · history

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