Elliptic curve isogeny class with LMFDB label 11200.z (Cremona label 11200be)

• Label: 11200.z
• Number of curves: $1$
• Conductor: $11200$
• CM: no
• Rank: $0$

Rank

The elliptic curve 11200.z1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 11200.z do not have complex multiplication.

Modular form 11200.2.a.z

Elliptic curves in class 11200.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11200.z1	11200be1	\([0, -1, 0, -16833, -838463]\)	\(-10303010/49\)	\(-2508800000000\)	\([]\)	\(23040\)	\(1.2288\)	\(\Gamma_0(N)\)-optimal