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curve #1784

y2 + xy = x3 − 24573203986310x + 46507552748925385572
a-invariants
[1, 0, 0, -24573203986310, 46507552748925385572]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
181937910
discriminant (Δ)
15258299858617672400014141082234555040000
Faltings height
6.5319
naive height
104.1116
primes of bad reduction
2, 3, 5, 7, 11, 17, 41, 113
regulator
6.629571302574997490119741870154411933482
submitted by
hdeping
submitted at
last updated

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Commentary

Specialization t=11/7 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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