Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1342

y² + xy + y = x³ − 40989276062623x + 101007395864093078478

a-invariants: [1, 0, 1, -40989276062623, 101007395864093078478]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/3ℤ
conductor (N): 47477497918811090
discriminant (Δ): 6018576964217684339140689921991812500
Faltings height: 6.3637
naive height: 105.6466
primes of bad reduction: 2, 5, 13, 31, 47, 73, 103, 1609, 20719
regulator: 6945.002748432687884700988069986636612214611144201344
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:35:25 UTC
last updated: 2026-09-24 17:35:25 UTC

Witness: 7 independent points log in to add more points →

(7489259, -14635667130)
(3680909, 48907320)
(3701059, -15109230)
(-5586076, -12473878410)
(71055069/16, -164068415245/64)
(723712039/196, 22958079255/2744)
(30978331/9, -22648180010/27)

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 17:35:25 UTC · history

Log in to edit commentary.