Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #2128

y² + xy = x³ − 22x + 36

a-invariants: [1, 0, 0, -22, 36]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/3ℤ
conductor (N): 254
discriminant (Δ): 65024
Faltings height: -0.3209
naive height: 20.8896
primes of bad reduction: 2, 127
regulator: 0.4313428242716647493693851746510562336053
submitted by: hdeping
submitted at: 2026-09-26 10:38:05 UTC
last updated: 2026-09-26 10:38:05 UTC

Witness: 1 independent point log in to add more points →

(-4, 10)

Commentary

Specialization of the torsion Z/3 family E: y^2+a*x*y+b^3*y=x^3, arising from x/y+y/z+z/x = k with k = 35+7/2.

last edited by hdeping at 2026-09-27 08:39:20 UTC · history

Log in to edit commentary.