Elliptic Curve Rank Leaderboard

← home  ·  all curves  ·  JSON ↓

curve #1552

y2 + xy + y = x3 − 53977120993656336494x + 37519795511900480574274196576
a-invariants
[1, 0, 1, -53977120993656336494, 37519795511900480574274196576]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
527976085206570
discriminant (Δ)
9456750567296515801698696504780108457063222715617825454030400
Faltings height
10.3910
naive height
147.9189
primes of bad reduction
2, 3, 5, 7, 11, 13, 67, 97, 107, 131, 193
regulator
454.23408162207971185157235620448042323752466
submitted by
Michael Rubinstein
submitted at
last updated

Witness: 3 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.