Elliptic Curve Rank Leaderboard

curve #2568

y2 + xy = x3 − 2088590x − 732603900
a-invariants
[1, 0, 0, -2088590, -732603900]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
53130
discriminant (Δ)
351347432901696000000
Faltings height
2.6439
naive height
55.2696
primes of bad reduction
2, 3, 5, 7, 11, 23
regulator
1.383717590166131160381473412439747765828
submitted by
Natanael Wildner Fraga
submitted at
last updated

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

Commentary

Exact computational search in the full 2-torsion/3-torsion family with p=-11, q=4; A=(3q-p)(p+q)^3=-7889, B=-(p+3q)(p-q)^3=3375. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound is claimed.

last edited by Natanael Wildner Fraga at · history

Log in to edit commentary.