Elliptic curve isogeny class with Cremona label 9152g (LMFDB label 9152.bf)

• Label: 9152g
• Number of curves: $1$
• Conductor: $9152$
• CM: no
• Rank: $0$

Rank

The elliptic curve 9152g1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 2 T + 3 T^{2}\)	1.3.c
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + 7 T + 29 T^{2}\)	1.29.h
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9152g do not have complex multiplication.

Modular form 9152.2.a.g

Elliptic curves in class 9152g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9152.bf1	9152g1	\([0, 0, 0, 62, -106]\)	\(411830784/314171\)	\(-20106944\)	\([]\)	\(4352\)	\(0.089492\)	\(\Gamma_0(N)\)-optimal