Elliptic curve isogeny class with LMFDB label 9408.bz (Cremona label 9408bi)

• Label: 9408.bz
• Number of curves: $2$
• Conductor: $9408$
• CM: no
• Rank: $1$

Elliptic curves in class 9408.bz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9408.bz1	9408bi2	$[0, 1, 0, -3649, 83705]$	$-1713910976512/1594323$	$-4999796928$	$[]$	$6240$	$0.78396$
9408.bz2	9408bi1	$[0, 1, 0, -9, -15]$	$-28672/3$	$-9408$	$[]$	$480$	$-0.49851$	$\Gamma_0(N)$-optimal

Rank

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

Complex multiplication

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

Modular form 9408.2.a.bz

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.

$\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.