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curve #5121

y2 = x3 − 1570445x
a-invariants
[0, 0, 0, -1570445, 0]
c-invariants
[75381360, 0]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/2ℤ
family
y2 = x3 + ax (quartic twists)
conductor (N)
78921519936800
discriminant (Δ)
247883812754295752000
Faltings height
2.6028
naive height
54.4142
primes of bad reduction
2, 5, 19, 61, 271
regulator
870.8152118298025448803806764495857264404830562
submitted by
hdeping
submitted at
later contributions

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Commentary

Mordell curve y^2=x^3+A*x, partner of library entry id=5098 (A' = 4th-free reduction of -4A_orig); points via exact 2-isogeny transfer, independence certified. Team Euler (operator Laohuang).

last edited by hdeping at · history

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