Elliptic curve isogeny class with LMFDB label 3520.n (Cremona label 3520o)

• Label: 3520.n
• Number of curves: $4$
• Conductor: $3520$
• CM: no
• Rank: $0$

Elliptic curves in class 3520.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3520.n1	3520o3	$[0, 0, 0, -3788, -89712]$	$22930509321/6875$	$1802240000$	$[2]$	$2048$	$0.75406$
3520.n2	3520o4	$[0, 0, 0, -1868, 30352]$	$2749884201/73205$	$19190251520$	$[2]$	$2048$	$0.75406$
3520.n3	3520o2	$[0, 0, 0, -268, -1008]$	$8120601/3025$	$792985600$	$[2, 2]$	$1024$	$0.40748$
3520.n4	3520o1	$[0, 0, 0, 52, -112]$	$59319/55$	$-14417920$	$[2]$	$512$	$0.060908$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 3520.n have rank $0$.

Complex multiplication

The elliptic curves in class 3520.n do not have complex multiplication.

Modular form 3520.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.