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curve #5359

y2 + y = x3 + 51088556
a-invariants
[0, 0, 1, 0, 51088556]
c-invariants
[0, -44140512600]
rank (lower bound)
≥ 6
torsion subgroup
trivial
family
y2 = x3 + k (Mordell curves)
conductor (N)
61867628556075
discriminant (Δ)
-1127537530434466875
Faltings height
2.1428
naive height
49.0213
primes of bad reduction
3, 5, 302747
regulator
13197100.193116845114535472425912463385972528577013
submitted by
The Wren
submitted at
last updated

Witness: 6 independent points log in to add more points →

Commentary

Rational 3-isogeny partner of curve #5215: https://elliptic-rank.icarm.cloud/curve/5215. The source Mordell curve is y^2 + y = x^3 - 1892169, submitted by Daniel Błażewicz with six independent points. Applying the standard Mordell 3-isogeny and returning to a minimal integral model gives y^2 + y = x^3 + 51088556. The six submitted points are exact images of the source generators under that isogeny.

last edited by The Wren at · history

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