Elliptic Curve Rank Leaderboard

curve #1636

y2 + xy = x3 − 695375017004882693574x + 7051410729586424547725937117300
a-invariants
[1, 0, 0, -695375017004882693574, 7051410729586424547725937117300]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/8ℤ
conductor (N)
2102768214757266
discriminant (Δ)
39676250965657794545310108737593651816540484750974336444208112
Faltings height
10.7360
naive height
155.5866
primes of bad reduction
2, 3, 7, 17, 19, 37, 41, 59, 137, 12641
regulator
16478.46276359547323546869519548500155998923457
submitted by
Michael Rubinstein
submitted at
last updated

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

Commentary

Torsion Z/8. 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.