Elliptic Curve Isogeny Class with LMFDB label 960.a (Cremona label 960i)

• Label: 960.a
• Number of curves: 8
• Conductor: 960
• CM: no
• Rank: 0

Elliptic curves in class 960.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
960.a1	960i7	[0, -1, 0, -138241, 19829665]	[2]	2048
960.a2	960i5	[0, -1, 0, -8641, 311905]	[2, 2]	1024
960.a3	960i8	[0, -1, 0, -7041, 429345]	[2]	2048
960.a4	960i3	[0, -1, 0, -5121, -139359]	[2]	512
960.a5	960i4	[0, -1, 0, -641, 3105]	[2, 2]	512
960.a6	960i2	[0, -1, 0, -321, -2079]	[2, 2]	256
960.a7	960i1	[0, -1, 0, -1, -95]	[2]	128	\(\Gamma_0(N)\)-optimal
960.a8	960i6	[0, -1, 0, 2239, 20961]	[2]	1024

Rank

The elliptic curves in class 960.a have rank \(0\).

Modular form 960.2.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 LMFDB numbering.

\(\left(\begin{array}{rrrrrrrr} 1 & 2 & 4 & 16 & 4 & 8 & 16 & 8 \\ 2 & 1 & 2 & 8 & 2 & 4 & 8 & 4 \\ 4 & 2 & 1 & 16 & 4 & 8 & 16 & 8 \\ 16 & 8 & 16 & 1 & 4 & 2 & 4 & 8 \\ 4 & 2 & 4 & 4 & 1 & 2 & 4 & 2 \\ 8 & 4 & 8 & 2 & 2 & 1 & 2 & 4 \\ 16 & 8 & 16 & 4 & 4 & 2 & 1 & 8 \\ 8 & 4 & 8 & 8 & 2 & 4 & 8 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.