Elliptic Curve Rank Leaderboard

curve #1638

y2 + xy = x3 − 95009546344542377884x − 243700057522463282951051802352
a-invariants
[1, 0, 0, -95009546344542377884, -243700057522463282951051802352]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/8ℤ
conductor (N)
469844835723354
discriminant (Δ)
29232185378058901666647063249511076348229020704652247309484032
Faltings height
10.4988
naive height
149.6151
primes of bad reduction
2, 3, 7, 13, 23, 29, 31, 41, 1015057
regulator
1432.171744928611192031193225914770310965011620
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.