Elliptic curve isogeny class with LMFDB label 2110.b (Cremona label 2110c)

• Label: 2110.b
• Number of curves: $1$
• Conductor: $2110$
• CM: no
• Rank: $1$

Rank

The elliptic curve 2110.b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(5\)	\(1 - T\)
\(211\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 2110.b do not have complex multiplication.

Modular form 2110.2.a.b

Isogeny graph

Elliptic curves in class 2110.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2110.b1	2110c1	\([1, 1, 0, 13, -71]\)	\(214921799/2637500\)	\(-2637500\)	\([]\)	\(320\)	\(-0.087021\)	\(\Gamma_0(N)\)-optimal