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curve #5684

y2 + y = x3 − 1348486728686
a-invariants
[0, 0, 1, 0, -1348486728686]
c-invariants
[0, 1165092533584488]
rank (lower bound)
≥ 10
torsion subgroup
trivial
family
y2 = x3 + k (Mordell curves)
conductor (N)
261851969871589756596804441
discriminant (Δ)
-785555909614769269790413323
Faltings height
3.8396
naive height
69.3832
primes of bad reduction
3, 568163, 9493661
regulator
7990402683849336.139150776165005457757438862220911038500654
submitted by
jesper-petersen
submitted at
last updated

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Commentary

Rational 3-isogenous partner of the Burkhardt rank-10 curve y² = x³ + 2330185067168976, arising from parameters (u,v,w) = (1/2,-1,2/3), t = -22/71.

last edited by jesper-petersen at · history

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