Elliptic Curve Rank Leaderboard

curve #3690

y2 + xy = x3 − 21479000230x + 1214951758164452
a-invariants
[1, 0, 0, -21479000230, 1214951758164452]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/5ℤ
conductor (N)
9065661330
discriminant (Δ)
-3486389335571941515722649600000
Faltings height
4.7274
naive height
82.9901
primes of bad reduction
2, 3, 5, 11, 19, 1445879
regulator
36.83529351284906917186031745349027854706209898
submitted by
Michael Rubinstein
submitted at
last updated

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

Commentary

Specialization at t = -95/792 of the universal curve with a 5-torsion point, y^2 + (t+1)xy + ty = x^3 + tx^2 (as searched in arXiv:2003.00077, Sec. 12), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).

last edited by Michael Rubinstein at · history

Log in to edit commentary.