Elliptic Curve Rank Leaderboard

curve #1620

y2 + xy = x3 − 12180655971496868160387446x + 13515375375245190769414310581867096740
a-invariants
[1, 0, 0, -12180655971496868160387446, 13515375375245190769414310581867096740]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
547653461378213190
discriminant (Δ)
36750907821301854669759843298779661431742944286870410879795185410518806630400
Faltings height
13.4100
naive height
184.8993
primes of bad reduction
2, 3, 5, 7, 11, 13, 17, 19, 29, 37, 41, 97, 101, 131
regulator
1261.226081497408383849052896737588530028395387
submitted by
Michael Rubinstein
submitted at
last updated

Witness: 4 independent points log in to add more points →

Commentary

Torsion Z/6+Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at · history

Log in to edit commentary.