Elliptic curve isogeny class with LMFDB label 5610.bk (Cremona label 5610bl)

• Label: 5610.bk
• Number of curves: $2$
• Conductor: $5610$
• CM: no
• Rank: $1$

Elliptic curves in class 5610.bk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5610.bk1	5610bl2	$[1, 0, 0, -9285, 236097]$	$88526309511756241/26991954000000$	$26991954000000$	$[2]$	$21504$	$1.2821$
5610.bk2	5610bl1	$[1, 0, 0, 1595, 25025]$	$448733772344879/527357952000$	$-527357952000$	$[2]$	$10752$	$0.93554$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 5610.bk have rank $1$.

Complex multiplication

The elliptic curves in class 5610.bk do not have complex multiplication.

Modular form 5610.2.a.bk

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.