Elliptic curve isogeny class with LMFDB label 2160.g (Cremona label 2160a)

• Label: 2160.g
• Number of curves: $1$
• Conductor: $2160$
• CM: no
• Rank: $1$

Rank

The elliptic curve 2160.g1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 + 5 T + 13 T^{2}\)	1.13.f
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 + 10 T + 29 T^{2}\)	1.29.k
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 2160.g do not have complex multiplication.

Modular form 2160.2.a.g

Elliptic curves in class 2160.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2160.g1	2160a1	\([0, 0, 0, 12, 12]\)	\(27648/25\)	\(-172800\)	\([]\)	\(192\)	\(-0.30766\)	\(\Gamma_0(N)\)-optimal