Elliptic curve isogeny class with LMFDB label 9248.b (Cremona label 9248c)

• Label: 9248.b
• Number of curves: $2$
• Conductor: $9248$
• CM: no
• Rank: $1$

Elliptic curves in class 9248.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9248.b1	9248c1	$[0, 1, 0, -6454, 197280]$	$19248832/17$	$26261675072$	$[2]$	$9216$	$0.92459$	$\Gamma_0(N)$-optimal
9248.b2	9248c2	$[0, 1, 0, -5009, 289471]$	$-140608/289$	$-28572702478336$	$[2]$	$18432$	$1.2712$

Rank

The elliptic curves in class 9248.b have rank $1$.

Complex multiplication

The elliptic curves in class 9248.b do not have complex multiplication.

Modular form 9248.2.a.b

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.