Elliptic Curve Rank Leaderboard

curve #4881

y2 = x3 + 289x
a-invariants
[0, 0, 0, 289, 0]
c-invariants
[-13872, 0]
rank (lower bound)
≥ 2
torsion subgroup
ℤ/2ℤ
family
y2 = x3 + ax (quartic twists)
conductor (N)
18496
discriminant (Δ)
-1544804416
Faltings height
0.4526
naive height
28.6129
primes of bad reduction
2, 17
regulator
28.3987007296134188488907996907572063692110
submitted by
The Wren
submitted at
last updated

Witness: 2 independent points log in to add more points →

Commentary

Obtained by a rational 2-isogeny from curve #4718, 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. Two rational points 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

Log in to edit commentary.