Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1693

y² + xy = x³ − 22835855165x + 1330694986993521

a-invariants: [1, 0, 0, -22835855165, 1330694986993521]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/5ℤ
conductor (N): 8743588854
discriminant (Δ): -2830983052326730881508004364288
Faltings height: 4.7274
naive height: 83.1721
primes of bad reduction: 2, 3, 7, 11, 13, 1455809
regulator: 29.01507350573340292995610013413566951431748931
submitted by: Michael Rubinstein
submitted at: 2026-09-25 06:11:08 UTC
last updated: 2026-09-25 06:11:08 UTC

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

(113170, -14048849)
(-83598, 51573279)
(130018, -23719601)
(84388, -2182241)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 06:11:08 UTC · history

Log in to edit commentary.