Elliptic curve isogeny class with LMFDB label 47040.gg (Cremona label 47040df)

• Label: 47040.gg
• Number of curves: $4$
• Conductor: $47040$
• CM: no
• Rank: $0$

Elliptic curves in class 47040.gg

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
47040.gg1	47040df4	[0, 1, 0, -352865, 80555775]	[2]	393216
47040.gg2	47040df2	[0, 1, 0, -23585, 1067583]	[2, 2]	196608
47040.gg3	47040df1	[0, 1, 0, -7905, -258945]	[2]	98304	\(\Gamma_0(N)\)-optimal
47040.gg4	47040df3	[0, 1, 0, 54815, 6728063]	[2]	393216

Rank

The elliptic curves in class 47040.gg have rank \(0\).

Complex multiplication

The elliptic curves in class 47040.gg do not have complex multiplication.

Modular form 47040.2.a.gg

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.