Elliptic curve isogeny class with LMFDB label 43560.be (Cremona label 43560ca)

• Label: 43560.be
• Number of curves: $4$
• Conductor: $43560$
• CM: no
• Rank: $0$

Elliptic curves in class 43560.be

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
43560.be1	43560ca4	$[0, 0, 0, -34325643, -76226878442]$	$3382175663521924/59189241375$	$78275593569507345792000$	$[2]$	$5898240$	$3.1894$
43560.be2	43560ca2	$[0, 0, 0, -4378143, 1714485058]$	$28071778927696/12404390625$	$4101087530790756000000$	$[2, 2]$	$2949120$	$2.8429$
43560.be3	43560ca1	$[0, 0, 0, -3719298, 2759544997]$	$275361373935616/148240125$	$3063157970528898000$	$[2]$	$1474560$	$2.4963$	$\Gamma_0(N)$-optimal
43560.be4	43560ca3	$[0, 0, 0, 15027837, 12772012462]$	$283811208976796/217529296875$	$-287674490094750000000000$	$[2]$	$5898240$	$3.1894$

Rank

The elliptic curves in class 43560.be have rank $0$.

Complex multiplication

The elliptic curves in class 43560.be do not have complex multiplication.

Modular form 43560.2.a.be

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.