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curve #1786

y2 + xy = x3 − 191918812669150x + 1023340956063274722500
a-invariants
[1, 0, 0, -191918812669150, 1023340956063274722500]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
313335330
discriminant (Δ)
8486237017318017614223622487840100000000
Faltings height
6.8164
naive height
110.2779
primes of bad reduction
2, 3, 5, 7, 11, 17, 79, 101
regulator
11.33705784185292243714879827477713933561
submitted by
hdeping
submitted at
last updated

Witness: 1 independent point log in to add more points →

Commentary

Specialization t=11/9 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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