Elliptic curve isogeny class with LMFDB label 5184.n (Cremona label 5184be)

• Label: 5184.n
• Number of curves: $1$
• Conductor: $5184$
• CM: no
• Rank: $1$

Rank

The elliptic curve 5184.n1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(13\)	\( 1 - 5 T + 13 T^{2}\)	1.13.af
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 5184.n do not have complex multiplication.

Modular form 5184.2.a.n

Elliptic curves in class 5184.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5184.n1	5184be1	\([0, 0, 0, -108, -216]\)	\(2304\)	\(60466176\)	\([]\)	\(1152\)	\(0.18929\)	\(\Gamma_0(N)\)-optimal