Elliptic Curve Isogeny Class with LMFDB label 6720.g (Cremona label 6720a)

• Label: 6720.g
• Number of curves: 4
• Conductor: 6720
• CM: no
• Rank: 1

Elliptic curves in class 6720.g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
6720.g1	6720a3	[0, -1, 0, -56481, -5147775]	[2]	12288
6720.g2	6720a4	[0, -1, 0, -8961, 221121]	[2]	12288
6720.g3	6720a2	[0, -1, 0, -3561, -78039]	[2, 2]	6144
6720.g4	6720a1	[0, -1, 0, 84, -4410]	[2]	3072	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 6720.g have rank \(1\).

Modular form 6720.2.a.g

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.