Elliptic Curve Rank Leaderboard

← home  ·  all curves  ·  JSON ↓

curve #1735

y2 + xy = x3 − 46274758590x + 3828953585996100
a-invariants
[1, 0, 0, -46274758590, 3828953585996100]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
8399370
discriminant (Δ)
8283476453167820002688100000000
Faltings height
4.8654
naive height
85.2872
primes of bad reduction
2, 3, 5, 7, 23, 37, 47
regulator
1
submitted by
hdeping
submitted at
last updated

Witness: no points (rank ≥ 0 needs none) log in to add more points →

Commentary

Specialization t=5/7 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

last edited by hdeping at · history

Log in to edit commentary.