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 \(0\).

Modular form 6720.2.a.p

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.