Elliptic curve isogeny class with LMFDB label 5760.d (Cremona label 5760d)

• Label: 5760.d
• Number of curves: $2$
• Conductor: $5760$
• CM: no
• Rank: $1$

Elliptic curves in class 5760.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5760.d1	5760d2	$[0, 0, 0, -1188, -3888]$	$1149984/625$	$100776960000$	$[2]$	$3072$	$0.80224$
5760.d2	5760d1	$[0, 0, 0, -918, -10692]$	$16979328/25$	$125971200$	$[2]$	$1536$	$0.45567$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 5760.d have rank $1$.

Complex multiplication

The elliptic curves in class 5760.d do not have complex multiplication.

Modular form 5760.2.a.d

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.