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curve #5357

y2 + y = x3 + 70706
a-invariants
[0, 0, 1, 0, 70706]
c-invariants
[0, -61090200]
rank (lower bound)
≥ 4
torsion subgroup
trivial
family
y2 = x3 + k (Mordell curves)
conductor (N)
118503675
discriminant (Δ)
-2159729476875
Faltings height
1.0456
naive height
35.8557
primes of bad reduction
3, 5, 419
regulator
4123.668396668788809644949037300599475335000708
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 #5222: https://elliptic-rank.icarm.cloud/curve/5222. The source Mordell curve is y^2 + y = x^3 - 2619, 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 + 70706. 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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