Elliptic Curve Rank Leaderboard

← home  ·  all curves  ·  JSON ↓

curve #1631

y2 + xy + y = x3 − x2 − 5385873752997805797x + 4714838649345135151377859869
a-invariants
[1, -1, 1, -5385873752997805797, 4714838649345135151377859869]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/7ℤ
conductor (N)
8787679865510 ☆ record for ℤ/7ℤ torsion, rank ≥ 4
discriminant (Δ)
395581910381846016322801256035051493057420800000000000000
Faltings height
9.6465
naive height
141.0045
primes of bad reduction
2, 5, 7, 13, 17, 37, 743, 20663
regulator
564.4542678744337234749854171507559012167425727
submitted by
Michael Rubinstein
submitted at
last updated

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

Commentary

Torsion Z/7. 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.