Elliptic curve isogeny class with LMFDB label 7616.f (Cremona label 7616e)

• Label: 7616.f
• Number of curves: $4$
• Conductor: $7616$
• CM: no
• Rank: $1$

Elliptic curves in class 7616.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7616.f1	7616e3	$[0, 0, 0, -33836, -2394576]$	$16342588257633/8185058$	$2145663844352$	$[2]$	$12288$	$1.3188$
7616.f2	7616e2	$[0, 0, 0, -2476, -23760]$	$6403769793/2775556$	$727595352064$	$[2, 2]$	$6144$	$0.97228$
7616.f3	7616e1	$[0, 0, 0, -1196, 15664]$	$721734273/13328$	$3493855232$	$[2]$	$3072$	$0.62570$	$\Gamma_0(N)$-optimal
7616.f4	7616e4	$[0, 0, 0, 8404, -176080]$	$250404380127/196003234$	$-51381071773696$	$[4]$	$12288$	$1.3188$

Rank

The elliptic curves in class 7616.f have rank $1$.

Complex multiplication

The elliptic curves in class 7616.f do not have complex multiplication.

Modular form 7616.2.a.f

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.