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curve #890

y2 + y = x3 − 7
a-invariants
[0, 0, 1, 0, -7]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/3ℤ
conductor (N)
27
discriminant (Δ)
-19683
Faltings height
-0.4972
naive height
17.3422
primes of bad reduction
3
regulator
1
submitted by
NDElkies
submitted at
last updated

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Commentary

LMFDB 27.a3; 3-isogenous with Curve #870 = [0,0,1,0,0], and isomorphic with the Fermat cubic curve X³ + Y³ = Z³.

last edited by NDElkies at · history

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