Elliptic curve isogeny class with LMFDB label 9576.v (Cremona label 9576l)

• Label: 9576.v
• Number of curves: $4$
• Conductor: $9576$
• CM: no
• Rank: $1$

Elliptic curves in class 9576.v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9576.v1	9576l3	\([0, 0, 0, -153219, 23084318]\)	\(266442869452034/399\)	\(595703808\)	\([2]\)	\(24576\)	\(1.3817\)
9576.v2	9576l2	\([0, 0, 0, -9579, 360470]\)	\(130213720228/159201\)	\(118842909696\)	\([2, 2]\)	\(12288\)	\(1.0351\)
9576.v3	9576l4	\([0, 0, 0, -7059, 554510]\)	\(-26055281954/73892007\)	\(-110320175314944\)	\([2]\)	\(24576\)	\(1.3817\)
9576.v4	9576l1	\([0, 0, 0, -759, 2378]\)	\(259108432/136857\)	\(25540800768\)	\([2]\)	\(6144\)	\(0.68851\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 9576.v have rank \(1\).

Complex multiplication

The elliptic curves in class 9576.v do not have complex multiplication.

Modular form 9576.2.a.v

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.