Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #2067

y² + xy = x³ − 6076154x + 5652540579

a-invariants: [1, 0, 0, -6076154, 5652540579]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/2ℤ × ℤ/4ℤ
conductor (N): 503139
discriminant (Δ): 551687926129951215969
Faltings height: 2.7675
naive height: 58.4733
primes of bad reduction: 3, 7, 13, 19, 97
regulator: 61.6462607740719863067388195252820600760867
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:13:06 UTC
last updated: 2026-09-26 05:13:06 UTC

Witness: 2 independent points log in to add more points →

(146419, -56092211)
(98682619/3481, 973806904448/205379)

Commentary

2-isogenous partner of curve#1470 (Michael Rubinstein), curve#2630 (Natanael Wildner Fraga).

last edited by Steps Unbounded at 2026-09-26 21:55:46 UTC · history

Log in to edit commentary.