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curve #1499

y2 + xy = x3 − 6958087482834697939647341870677070x + 223399881781757734283987791290239570859256792080900
a-invariants
[1, 0, 0, -6958087482834697939647341870677070, 223399881781757734283987791290239570859256792080900]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
203115553129265202510
discriminant (Δ)
174463769460151579790686108831337017957879853634113876640097924973234807828911240675904100000000
Faltings height
17.8994
naive height
245.3892
primes of bad reduction
2, 3, 5, 7, 47, 61, 113, 4241, 25457, 27653
regulator
26.54202315835330997128130435082455943005
submitted by
hdeping
submitted at
last updated

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

Commentary

Specialization t=113/122 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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