Elliptic curve isogeny class with LMFDB label 9360.bd (Cremona label 9360f)

• Label: 9360.bd
• Number of curves: $1$
• Conductor: $9360$
• CM: no
• Rank: $0$

Rank

The elliptic curve 9360.bd1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 - 8 T + 19 T^{2}\)	1.19.ai
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9360.bd do not have complex multiplication.

Modular form 9360.2.a.bd

Elliptic curves in class 9360.bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9360.bd1	9360f1	\([0, 0, 0, -12, -36]\)	\(-27648/65\)	\(-449280\)	\([]\)	\(1280\)	\(-0.22710\)	\(\Gamma_0(N)\)-optimal