Elliptic curve isogeny class with LMFDB label 1098.l (Cremona label 1098l)

• Label: 1098.l
• Number of curves: $2$
• Conductor: $1098$
• CM: no
• Rank: $0$

Elliptic curves in class 1098.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1098.l1	1098l1	$[1, -1, 1, -41, -547]$	$-10218313/177876$	$-129671604$	$[]$	$384$	$0.23786$	$\Gamma_0(N)$-optimal
1098.l2	1098l2	$[1, -1, 1, 364, 14519]$	$7335308807/130741056$	$-95310229824$	$[3]$	$1152$	$0.78717$

Rank

The elliptic curves in class 1098.l have rank $0$.

Complex multiplication

The elliptic curves in class 1098.l do not have complex multiplication.

Modular form 1098.2.a.l

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.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.