Elliptic curve isogeny class with Cremona label 320892j (LMFDB label 320892.j)

• Label: 320892j
• Number of curves: $1$
• Conductor: $320892$
• CM: no
• Rank: $0$

Elliptic curves in class 320892j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
320892.j1	320892j1	$[0, -1, 0, -423394044, -3353106636504]$	$-2239480268659352677250512/2467804862588949$	$-9249569534250189391104$	$[]$	$81861120$	$3.5015$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 320892j1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1 + T$
$11$	$1$
$13$	$1 + T$
$17$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 - 3 T + 5 T^{2}$	1.5.ad
$7$	$1 - 4 T + 7 T^{2}$	1.7.ae
$19$	$1 + 4 T + 19 T^{2}$	1.19.e
$23$	$1 - T + 23 T^{2}$	1.23.ab
$29$	$1 + 29 T^{2}$	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 320892j do not have complex multiplication.

Modular form 320892.2.a.j