Elliptic curve isogeny class with LMFDB label 11200.bk (Cremona label 11200bv)

• Label: 11200.bk
• Number of curves: $4$
• Conductor: $11200$
• CM: no
• Rank: $0$

Elliptic curves in class 11200.bk

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
11200.bk1	11200bv3	[0, 0, 0, -29900, -1990000]	[2]	16384
11200.bk2	11200bv4	[0, 0, 0, -5900, 138000]	[2]	16384
11200.bk3	11200bv2	[0, 0, 0, -1900, -30000]	[2, 2]	8192
11200.bk4	11200bv1	[0, 0, 0, 100, -2000]	[2]	4096	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 11200.bk have rank \(0\).

Complex multiplication

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

Modular form 11200.2.a.bk

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.