Elliptic curve isogeny class with LMFDB label 9680.bb (Cremona label 9680bc)

• Label: 9680.bb
• Number of curves: $4$
• Conductor: $9680$
• CM: no
• Rank: $0$

Elliptic curves in class 9680.bb

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
9680.bb1	9680bc4	[0, -1, 0, -859140, -306223300]	[2]	103680
9680.bb2	9680bc3	[0, -1, 0, -53885, -4735828]	[2]	51840
9680.bb3	9680bc2	[0, -1, 0, -12140, -286900]	[2]	34560
9680.bb4	9680bc1	[0, -1, 0, -5485, 154992]	[2]	17280	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 9680.bb have rank \(0\).

Complex multiplication

The elliptic curves in class 9680.bb do not have complex multiplication.

Modular form 9680.2.a.bb

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.