Elliptic curve isogeny class with LMFDB label 1520.c (Cremona label 1520d)

• Label: 1520.c
• Number of curves: $2$
• Conductor: $1520$
• CM: no
• Rank: $1$

Elliptic curves in class 1520.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1520.c1	1520d2	$[0, 1, 0, -20, -20]$	$3631696/1805$	$462080$	$[2]$	$256$	$-0.22008$
1520.c2	1520d1	$[0, 1, 0, 5, 0]$	$702464/475$	$-7600$	$[2]$	$128$	$-0.56666$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 1520.c have rank $1$.

Complex multiplication

The elliptic curves in class 1520.c do not have complex multiplication.

Modular form 1520.2.a.c

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.