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

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

Elliptic curves in class 4032.bm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4032.bm1	4032j2	$[0, 0, 0, -1308, 18160]$	$20720464/63$	$752467968$	$[2]$	$3072$	$0.57189$
4032.bm2	4032j1	$[0, 0, 0, -48, 520]$	$-16384/147$	$-109734912$	$[2]$	$1536$	$0.22532$	$\Gamma_0(N)$-optimal

Rank

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

Complex multiplication

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

Modular form 4032.2.a.bm

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.