Elliptic curve isogeny class with LMFDB label 9408.df (Cremona label 9408dd)

• Label: 9408.df
• Number of curves: $2$
• Conductor: $9408$
• CM: no
• Rank: $0$

Elliptic curves in class 9408.df

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9408.df1	9408dd2	$[0, 1, 0, -7121, -233073]$	$20720464/63$	$121436356608$	$[2]$	$18432$	$0.99554$
9408.df2	9408dd1	$[0, 1, 0, -261, -6693]$	$-16384/147$	$-17709468672$	$[2]$	$9216$	$0.64897$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 9408.df have rank $0$.

Complex multiplication

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

Modular form 9408.2.a.df

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.

$\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.