Elliptic curve isogeny class with LMFDB label 1472.a (Cremona label 1472g)

• Label: 1472.a
• Number of curves: $1$
• Conductor: $1472$
• CM: no
• Rank: $0$

Elliptic curves in class 1472.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1472.a1	1472g1	\([0, 0, 0, -220, -1256]\)	\(-1149984000/23\)	\(-23552\)	\([]\)	\(384\)	\(-0.040290\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1472.a1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T + 3 T^{2}\)	1.3.d
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 5 T + 13 T^{2}\)	1.13.af
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 1472.a do not have complex multiplication.

Modular form 1472.2.a.a