Elliptic curve isogeny class with LMFDB label 960.d (Cremona label 960j)

• Label: 960.d
• Number of curves: $4$
• Conductor: $960$
• CM: no
• Rank: $0$

Elliptic curves in class 960.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
960.d1	960j3	$[0, -1, 0, -1921, -31775]$	$23937672968/45$	$1474560$	$[2]$	$512$	$0.43889$
960.d2	960j4	$[0, -1, 0, -321, 1665]$	$111980168/32805$	$1074954240$	$[2]$	$512$	$0.43889$
960.d3	960j2	$[0, -1, 0, -121, -455]$	$48228544/2025$	$8294400$	$[2, 2]$	$256$	$0.092319$
960.d4	960j1	$[0, -1, 0, 4, -30]$	$85184/5625$	$-360000$	$[2]$	$128$	$-0.25425$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 960.d have rank $0$.

Complex multiplication

The elliptic curves in class 960.d do not have complex multiplication.

Modular form 960.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.