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curve #5358

y2 + y = x3 + 27182
a-invariants
[0, 0, 1, 0, 27182]
c-invariants
[0, -23485464]
rank (lower bound)
≥ 4
torsion subgroup
trivial
family
y2 = x3 + k (Mordell curves)
conductor (N)
145950561
discriminant (Δ)
-319193876907
Faltings height
0.8863
naive height
33.9438
primes of bad reduction
3, 4027
regulator
5097.324737300883174921221835667872387813511236
submitted by
The Wren
submitted at
last updated

Witness: 4 independent points log in to add more points →

Commentary

Rational 3-isogeny partner of curve #5074: https://elliptic-rank.icarm.cloud/curve/5074. The source Mordell curve is y^2 + y = x^3 - 1007, submitted by Daniel Błażewicz with four independent points. Applying the standard Mordell 3-isogeny and returning to a minimal integral model gives y^2 + y = x^3 + 27182. The four submitted points are exact images of the source generators under that isogeny.

last edited by The Wren at · history

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