Elliptic curve isogeny class with Cremona label 366912b (LMFDB label 366912.b)

• Label: 366912b
• Number of curves: $1$
• Conductor: $366912$
• CM: no
• Rank: $1$

Rank

The elliptic curve 366912b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(7\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 366912b do not have complex multiplication.

Modular form 366912.2.a.b

Isogeny graph

Elliptic curves in class 366912b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
366912.b1	366912b1	\([0, 0, 0, -147, -1960]\)	\(-3136/13\)	\(-1456273728\)	\([]\)	\(248832\)	\(0.44345\)	\(\Gamma_0(N)\)-optimal