Elliptic Curve Rank Leaderboard

← home  ·  all curves  ·  JSON ↓

curve #1733

y2 + xy = x3 − 12142535x + 16280729097
a-invariants
[1, 0, 0, -12142535, 16280729097]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/10ℤ
conductor (N)
94710
discriminant (Δ)
58723661173161600000
Faltings height
2.7719
naive height
60.5503
primes of bad reduction
2, 3, 5, 7, 11, 41
regulator
1.476542104924378460166397176163627878309
submitted by
hdeping
submitted at
last updated

Witness: 1 independent point log in to add more points →

Commentary

Specialization u=-7/5 of the X_1(10) universal curve for torsion Z/10Z (Halbeisen-Hungerbuehler-Voznyy-Zargar 2021, Thm 4), y^2+xy=x^3+A(u)x^2+B(u)x.

last edited by hdeping at · history

Log in to edit commentary.