Elliptic curve isogeny class with LMFDB label 89232.cn (Cremona label 89232cn)

• Label: 89232.cn
• Number of curves: $1$
• Conductor: $89232$
• CM: no
• Rank: $0$

Rank

The elliptic curve 89232.cn1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(11\)	\(1 - T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 89232.cn do not have complex multiplication.

Modular form 89232.2.a.cn

Elliptic curves in class 89232.cn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
89232.cn1	89232cn1	\([0, 1, 0, 1803, 4707]\)	\(5537792/3267\)	\(-382192791552\)	\([]\)	\(93312\)	\(0.91180\)	\(\Gamma_0(N)\)-optimal