Elliptic curve isogeny class with LMFDB label 5610.i (Cremona label 5610g)

• Label: 5610.i
• Number of curves: $2$
• Conductor: $5610$
• CM: no
• Rank: $0$

Elliptic curves in class 5610.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5610.i1	5610g2	$[1, 1, 0, -185702, -30879084]$	$708234550511150304361/23696640000$	$23696640000$	$[2]$	$28160$	$1.4903$
5610.i2	5610g1	$[1, 1, 0, -11622, -484716]$	$173629978755828841/1000026931200$	$1000026931200$	$[2]$	$14080$	$1.1437$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 5610.i have rank $0$.

Complex multiplication

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

Modular form 5610.2.a.i

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.