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curve #1740

y2 + xy = x3 − 5148493524640x + 4496171349259707392
a-invariants
[1, 0, 0, -5148493524640, 4496171349259707392]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
10136490
discriminant (Δ)
1024584110830347989151569034608640000
Faltings height
5.9644
naive height
99.4228
primes of bad reduction
2, 3, 5, 7, 13, 47, 79
regulator
1
submitted by
hdeping
submitted at
last updated

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Commentary

Specialization t=1/8 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

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