Elliptic curve isogeny class with LMFDB label 5610.c (Cremona label 5610a)

• Label: 5610.c
• Number of curves: $4$
• Conductor: $5610$
• CM: no
• Rank: $1$

Elliptic curves in class 5610.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5610.c1	5610a4	$[1, 1, 0, -11968, 498988]$	$189602977175292169/1402500$	$1402500$	$[2]$	$8192$	$0.77449$
5610.c2	5610a3	$[1, 1, 0, -1048, 532]$	$127483771761289/73369857660$	$73369857660$	$[2]$	$8192$	$0.77449$
5610.c3	5610a2	$[1, 1, 0, -748, 7552]$	$46380496070089/125888400$	$125888400$	$[2, 2]$	$4096$	$0.42792$
5610.c4	5610a1	$[1, 1, 0, -28, 208]$	$-2565726409/19388160$	$-19388160$	$[2]$	$2048$	$0.081343$	$\Gamma_0(N)$-optimal

Rank

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

Complex multiplication

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

Modular form 5610.2.a.c

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.

$\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.