Elliptic curve isogeny class with LMFDB label 4032.j (Cremona label 4032d)

• Label: 4032.j
• Number of curves: $2$
• Conductor: $4032$
• CM: no
• Rank: $0$

Elliptic curves in class 4032.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4032.j1	4032d1	$[0, 0, 0, -216, -1080]$	$55296/7$	$141087744$	$[2]$	$1536$	$0.29296$	$\Gamma_0(N)$-optimal
4032.j2	4032d2	$[0, 0, 0, 324, -5616]$	$11664/49$	$-15801827328$	$[2]$	$3072$	$0.63953$

Rank

The elliptic curves in class 4032.j have rank $0$.

Complex multiplication

The elliptic curves in class 4032.j do not have complex multiplication.

Modular form 4032.2.a.j

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.