Elliptic curve isogeny class with LMFDB label 11760.bg (Cremona label 11760bx)

• Label: 11760.bg
• Number of curves: $4$
• Conductor: $11760$
• CM: no
• Rank: $0$

Elliptic curves in class 11760.bg

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
11760.bg1	11760bx3	[0, -1, 0, -292840, 61092592]	[2]	73728
11760.bg2	11760bx2	[0, -1, 0, -18440, 944112]	[2, 2]	36864
11760.bg3	11760bx1	[0, -1, 0, -2760, -34320]	[2]	18432	\(\Gamma_0(N)\)-optimal
11760.bg4	11760bx4	[0, -1, 0, 5080, 3164400]	[2]	73728

Rank

The elliptic curves in class 11760.bg have rank \(0\).

Complex multiplication

The elliptic curves in class 11760.bg do not have complex multiplication.

Modular form 11760.2.a.bg

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.