Elliptic Curve Rank Leaderboard

curve #1737

y2 + xy = x3 − 1319539461660x − 159402536950172400
a-invariants
[1, 0, 0, -1319539461660, -159402536950172400]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
17368890
discriminant (Δ)
136067191111269712008191154585600000000
Faltings height
6.0084
naive height
95.3385
primes of bad reduction
2, 3, 5, 7, 11, 73, 103
regulator
1
submitted by
hdeping
submitted at
last updated

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Commentary

Specialization t=3/8 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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