Elliptic curve isogeny class with LMFDB label 1920.r (Cremona label 1920g)

• Label: 1920.r
• Number of curves: $2$
• Conductor: $1920$
• CM: no
• Rank: $0$

Elliptic curves in class 1920.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1920.r1	1920g1	$[0, 1, 0, -606, -5850]$	$192596360288/3796875$	$486000000$	$[2]$	$960$	$0.45885$	$\Gamma_0(N)$-optimal
1920.r2	1920g2	$[0, 1, 0, 19, -16725]$	$43904/7381125$	$-120932352000$	$[2]$	$1920$	$0.80543$

Rank

The elliptic curves in class 1920.r have rank $0$.

Complex multiplication

The elliptic curves in class 1920.r do not have complex multiplication.

Modular form 1920.2.a.r

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.