Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1507

y² = x³ − 3300636x + 2267841760

a-invariants: [0, 0, 0, -3300636, 2267841760]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/4ℤ
conductor (N): 124828704
discriminant (Δ): 79476156676374441984
Faltings height: 2.6100
naive height: 56.6425
primes of bad reduction: 2, 3, 7, 11, 13, 433
regulator: 20.71596848481760420396051748764642217787059522
submitted by: hdeping
submitted at: 2026-09-25 00:43:19 UTC
last updated: 2026-09-25 00:43:19 UTC

Witness: 4 independent points log in to add more points →

(-1882, 42588)
(-1986, 31460)
(10598, 1075932)
(24326, 3783780)

Commentary

Specialization t=-143/1176 of the Kubert-Tate torsion Z/4 universal family y^2+xy+ty=x^3+tx^2.

last edited by hdeping at 2026-09-27 08:26:31 UTC · history

Log in to edit commentary.