Elliptic Curve Rank Leaderboard

← home  ·  all curves  ·  JSON ↓

curve #2115

y2 + xy = x3 − 92677956255664016180x + 299418090541143369157794628752
a-invariants
[1, 0, 0, -92677956255664016180, 299418090541143369157794628752]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/10ℤ
conductor (N)
108499668578070
discriminant (Δ)
12216593975275293347287354970642317946970972624418175452800000
Faltings height
10.4480
naive height
149.5406
primes of bad reduction
2, 3, 5, 7, 11, 19, 31, 71, 97, 11579
regulator
535.13719622262266389425970186520886438086041
submitted by
Steps Unbounded
submitted at
last updated

Witness: 3 independent points log in to add more points →

Commentary

Rank >= 3 with torsion Z/10 from the universal X_1(10) family at s=31/97 (t=s^2(2s-1)/(s-1)^2); conductor 108499668578070.

last edited by Steps Unbounded at · history

Log in to edit commentary.