Elliptic Curve Rank Leaderboard

curve #5415

y2 = x3 + 164267385433625881
a-invariants
[0, 0, 0, 0, 164267385433625881]
c-invariants
[0, -141927021014652761184]
rank (lower bound)
≥ 11
torsion subgroup
trivial
family
y2 = x3 + k (Mordell curves)
conductor (N)
8028230256356847550933023869660676
discriminant (Δ)
-11656990332230142643954750658747301552
Faltings height
5.7913
naive height
92.8037
primes of bad reduction
2, 3, 11, 1357581697798561
regulator
1809432516461.38680689714390095921596146588197308333690328265
submitted by
jesper-petersen
submitted at
last updated

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Commentary

Rank-11 Mordell curve obtained through Mestre's polynomial cube-completion construction, using the integer sextuple (-115,-59,-53,67,73,87).

last edited by jesper-petersen at · history

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