Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1718

y² = x³ − x² − 167447311633x + 113581007225855137

a-invariants: [0, -1, 0, -167447311633, 113581007225855137]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/4ℤ
conductor (N): 464080993807200
discriminant (Δ): -5272593982455742172006447119680000000
Faltings height: 5.7285
naive height: 92.0657
primes of bad reduction: 2, 3, 5, 7, 11, 107, 127, 181, 1021
regulator: 5142.5152274077046967070676507871598288739788377523
submitted by: Michael Rubinstein
submitted at: 2026-09-25 06:15:17 UTC
last updated: 2026-09-25 06:15:17 UTC

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

(16048672, 64272233025)
(38880397/36, 235874125025/216)
(1114361, 1144900428)
(-31823, 344786100)
(463601/25, 41548584924/125)
(1553527, 1898103900)

Commentary

Torsion Z/4. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 06:15:18 UTC · history

Log in to edit commentary.