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curve #1785

y2 + xy = x3 − 82953237116490x + 249951657586041368100
a-invariants
[1, 0, 0, -82953237116490, 249951657586041368100]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
1392925170
discriminant (Δ)
9542989595880887759867635775206640100000000
Faltings height
6.9711
naive height
107.7615
primes of bad reduction
2, 3, 5, 7, 13, 31, 109, 151
regulator
8.596923229412317012106942655508983320958
submitted by
hdeping
submitted at
last updated

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

Commentary

Specialization t=13/7 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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