Elliptic curve isogeny class with LMFDB label 2376.b (Cremona label 2376a)

• Label: 2376.b
• Number of curves: $1$
• Conductor: $2376$
• CM: no
• Rank: $1$

Rank

The elliptic curve 2376.b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(11\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 2376.b do not have complex multiplication.

Modular form 2376.2.a.b

Isogeny graph

Elliptic curves in class 2376.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2376.b1	2376a1	\([0, 0, 0, -540, -13932]\)	\(-3456000/14641\)	\(-73773773568\)	\([]\)	\(1152\)	\(0.77045\)	\(\Gamma_0(N)\)-optimal