Elliptic curve isogeny class with LMFDB label 11760.br (Cremona label 11760ce)

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

Elliptic curves in class 11760.br

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
11760.br1	11760ce3	[0, 1, 0, -88216, -10113580]	[2]	49152
11760.br2	11760ce2	[0, 1, 0, -5896, -136396]	[2, 2]	24576
11760.br3	11760ce1	[0, 1, 0, -1976, 31380]	[2]	12288	\(\Gamma_0(N)\)-optimal
11760.br4	11760ce4	[0, 1, 0, 13704, -834156]	[2]	49152

Rank

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

Complex multiplication

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

Modular form 11760.2.a.br

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.