Elliptic curve isogeny class with LMFDB label 2040.n (Cremona label 2040o)

• Label: 2040.n
• Number of curves: $2$
• Conductor: $2040$
• CM: no
• Rank: $0$

Elliptic curves in class 2040.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2040.n1	2040o2	$[0, 1, 0, -720, 7200]$	$20183398562/3825$	$7833600$	$[2]$	$640$	$0.32405$
2040.n2	2040o1	$[0, 1, 0, -40, 128]$	$-7086244/4335$	$-4439040$	$[2]$	$320$	$-0.022526$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 2040.n have rank $0$.

Complex multiplication

The elliptic curves in class 2040.n do not have complex multiplication.

Modular form 2040.2.a.n

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.