Elliptic curve isogeny class with Cremona label 9464d (LMFDB label 9464.c)

• Label: 9464d
• Number of curves: $4$
• Conductor: $9464$
• CM: no
• Rank: $0$

Elliptic curves in class 9464d

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
9464.c4	9464d1	[0, 0, 0, 169, 4394]	[2]	4608	\(\Gamma_0(N)\)-optimal
9464.c3	9464d2	[0, 0, 0, -3211, 65910]	[2, 2]	9216
9464.c2	9464d3	[0, 0, 0, -9971, -303186]	[2]	18432
9464.c1	9464d4	[0, 0, 0, -50531, 4372030]	[2]	18432

Rank

The elliptic curves in class 9464d have rank \(0\).

Complex multiplication

The elliptic curves in class 9464d do not have complex multiplication.

Modular form 9464.2.a.d

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.