Elliptic curve isogeny class with LMFDB label 9464.e (Cremona label 9464f)

• Label: 9464.e
• Number of curves: $1$
• Conductor: $9464$
• CM: no
• Rank: $0$

Rank

The elliptic curve 9464.e1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 2 T + 3 T^{2}\)	1.3.ac
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9464.e do not have complex multiplication.

Modular form 9464.2.a.e

Elliptic curves in class 9464.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9464.e1	9464f1	\([0, -1, 0, 180943, 19400549]\)	\(530208386048/439239619\)	\(-542752191013317376\)	\([]\)	\(112896\)	\(2.0907\)	\(\Gamma_0(N)\)-optimal