Elliptic Curve Rank Leaderboard

curve #5465

y2 = x3 − 78698838143811
a-invariants
[0, 0, 0, 0, -78698838143811]
c-invariants
[0, 67995796156252704]
rank (lower bound)
≥ 10
torsion subgroup
trivial
family
y2 = x3 + k (Mordell curves)
conductor (N)
668898769520062210023101201868
discriminant (Δ)
-2675595078080248840092404807472
Faltings height
4.5174
naive height
77.5164
primes of bad reduction
2, 3, 83, 16691, 18935929
regulator
501527083903.3791240913188588244792904448879088987087689243
submitted by
jesper-petersen
submitted at
last updated

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Commentary

Rank-10 Mordell curve obtained using Mestre's polynomial cube-completion construction from the integer sextuple (-63,-59,-41,49,51,63).

last edited by jesper-petersen at · history

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