Elliptic Curve Rank Leaderboard

curve #1739

y2 + xy = x3 − 3495251395810x + 2515149573686668100
a-invariants
[1, 0, 0, -3495251395810, 2515149573686668100]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
10004610
discriminant (Δ)
23568921860494022530942832100000000
Faltings height
5.7942
naive height
98.2609
primes of bad reduction
2, 3, 5, 7, 11, 61, 71
regulator
1
submitted by
hdeping
submitted at
last updated

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Commentary

Specialization t=1/11 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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