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curve #1736

y2 + xy = x3 − 305676117270x + 59441674495428900
a-invariants
[1, 0, 0, -305676117270, 59441674495428900]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
13812330
discriminant (Δ)
301558404617722455110431568100000000
Faltings height
5.5456
naive height
90.9510
primes of bad reduction
2, 3, 5, 7, 17, 53, 73
regulator
1
submitted by
hdeping
submitted at
last updated

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Commentary

Specialization t=2/7 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

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