Elliptic curve isogeny class with Cremona label 6720g (LMFDB label 6720.p)

• Label: 6720g
• Number of curves: $4$
• Conductor: $6720$
• CM: no
• Rank: $0$

Elliptic curves in class 6720g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
6720.p3	6720g1	[0, -1, 0, -161, 801]	[2]	2048	\(\Gamma_0(N)\)-optimal
6720.p2	6720g2	[0, -1, 0, -481, -2975]	[2, 2]	4096
6720.p1	6720g3	[0, -1, 0, -7201, -232799]	[2]	8192
6720.p4	6720g4	[0, -1, 0, 1119, -19935]	[2]	8192

Rank

The elliptic curves in class 6720g have rank \(0\).

Complex multiplication

The elliptic curves in class 6720g do not have complex multiplication.

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 Cremona 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 Cremona labels.