Elliptic curve isogeny class with LMFDB label 9408.co (Cremona label 9408bb)

• Label: 9408.co
• Number of curves: $4$
• Conductor: $9408$
• CM: no
• Rank: $1$

Elliptic curves in class 9408.co

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9408.co1	9408bb4	$[0, 1, 0, -358353, 82449135]$	$2640279346000/3087$	$5950381473792$	$[2]$	$55296$	$1.7343$
9408.co2	9408bb3	$[0, 1, 0, -22213, 1304939]$	$-10061824000/352947$	$-42520434281472$	$[2]$	$27648$	$1.3878$
9408.co3	9408bb2	$[0, 1, 0, -5553, 49167]$	$9826000/5103$	$9836344885248$	$[2]$	$18432$	$1.1850$
9408.co4	9408bb1	$[0, 1, 0, 1307, 6635]$	$2048000/1323$	$-159385218048$	$[2]$	$9216$	$0.83846$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 9408.co have rank $1$.

Complex multiplication

The elliptic curves in class 9408.co do not have complex multiplication.

Modular form 9408.2.a.co

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.