Elliptic Curve Rank Leaderboard

curve #2567

y2 = x3 + x2 − 9x + 7
a-invariants
[0, 1, 0, -9, 7]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ
conductor (N)
128
discriminant (Δ)
8192
Faltings height
-0.5099
naive height
18.3144
primes of bad reduction
2
regulator
0.2161655822867590162580377816961518488022
submitted by
Natanael Wildner Fraga
submitted at
last updated

Witness: 1 independent point log in to add more points →

Commentary

2-isogenous to curve#1795 via the rational 2-torsion point x=-1. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence is certified.

last edited by Natanael Wildner Fraga at · history

Log in to edit commentary.