Elliptic Curve Rank Leaderboard

← home  ·  all curves  ·  JSON ↓

curve #2116

y2 + xy = x3 − 255845251297258429380x + 1656026164827548903395128129552
a-invariants
[1, 0, 0, -255845251297258429380, 1656026164827548903395128129552]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/10ℤ
conductor (N)
72830908567230
discriminant (Δ)
-112930777037896130279891100939973298040636274393064790000000000
Faltings height
10.6616
naive height
152.6871
primes of bad reduction
2, 3, 5, 11, 17, 31, 107, 419, 9341
regulator
599.76761503045484535941432699537084745687451
submitted by
Steps Unbounded
submitted at
last updated

Witness: 3 independent points log in to add more points →

Commentary

Rank >= 3 with torsion Z/10 from the universal X_1(10) family at s=62/107 (t=s^2(2s-1)/(s-1)^2); conductor 72830908567230.

last edited by Steps Unbounded at · history

Log in to edit commentary.