Elliptic Curve Rank Leaderboard

curve #5782

y2 + y = x3 − 181408176985685267017
a-invariants
[0, 0, 1, 0, -181408176985685267017]
c-invariants
[0, 156736664915632070702472]
rank (lower bound)
≥ 7
torsion subgroup
trivial
families
y2 = x3 + k (Mordell curves); x3 + y3 = A (cube-sum curves)
conductor (N)
58776249343362026513427
discriminant (Δ)
-14216656324580514620959076716268914032145203
Faltings height
6.9591
naive height
106.8177
primes of bad reduction
3, 13, 97, 1279, 9643
regulator
40634606.89317551648842132310923831879495763636965236
submitted by
Maksym Voznyy
submitted at
last updated

Witness: 7 independent points log in to add more points →

Commentary

Voznyy (2026), A = 139971722553, [r, s, t] = [-72, -49, 91] for S2 in https://arxiv.org/pdf/math/0403116

last edited by Maksym Voznyy at · history

Log in to edit commentary.