Elliptic curve isogeny class with LMFDB label 8464.o (Cremona label 8464b)

• Label: 8464.o
• Number of curves: $1$
• Conductor: $8464$
• CM: no
• Rank: $0$

Rank

The elliptic curve 8464.o1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(23\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 - 3 T + 19 T^{2}\)	1.19.ad
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 8464.o do not have complex multiplication.

Modular form 8464.2.a.o

Isogeny graph

Elliptic curves in class 8464.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8464.o1	8464b1	\([0, 1, 0, 8, 52]\)	\(46\)	\(-1083392\)	\([]\)	\(960\)	\(-0.16174\)	\(\Gamma_0(N)\)-optimal