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

• Label: 6720bj
• Number of curves: 4
• Conductor: 6720
• CM: no
• Rank: 2

Elliptic curves in class 6720bj

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
6720.a3	6720bj1	[0, -1, 0, -36, -30]	[2]	1536	\(\Gamma_0(N)\)-optimal
6720.a2	6720bj2	[0, -1, 0, -281, 1881]	[2, 2]	3072
6720.a1	6720bj3	[0, -1, 0, -4481, 116961]	[2]	6144
6720.a4	6720bj4	[0, -1, 0, -1, 5185]	[2]	6144

Rank

The elliptic curves in class 6720bj have rank \(2\).

Modular form 6720.2.a.a

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.