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curve #4880

y2 = x3 + 100x
a-invariants
[0, 0, 0, 100, 0]
c-invariants
[-4800, 0]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ
family
y2 = x3 + ax (quartic twists)
conductor (N)
800
discriminant (Δ)
-64000000
Faltings height
0.1873
naive height
25.4291
primes of bad reduction
2, 5
regulator
3.798964345063591180214411019189195839345
submitted by
The Wren
submitted at
last updated

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Commentary

Obtained by a rational 2-isogeny from curve #4716, submitted by David Renshaw and sourced to Table 2 of Watkins, Donnelly, Elkies, Fisher, Granville and Rogers, Ranks of quadratic twists of elliptic curves (2014): https://doi.org/10.5802/pmb.9. One rational point transported through the isogeny and checked exactly. Rational torsion C2. Same rank and conductor as the source. Source-attributed existing curve.

last edited by The Wren at · history

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