Elliptic curve isogeny class with Cremona label 320892e (LMFDB label 320892.e)

• Label: 320892e
• Number of curves: $2$
• Conductor: $320892$
• CM: no
• Rank: $0$

Elliptic curves in class 320892e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
320892.e1	320892e1	$[0, -1, 0, -57273, 5060574]$	$733001728000/36822357$	$1043728825428432$	$[2]$	$1290240$	$1.6404$	$\Gamma_0(N)$-optimal
320892.e2	320892e2	$[0, -1, 0, 35292, 19759896]$	$10718750000/378572337$	$-171689980904462592$	$[2]$	$2580480$	$1.9870$

Rank

The elliptic curves in class 320892e have rank $0$.

Complex multiplication

The elliptic curves in class 320892e do not have complex multiplication.

Modular form 320892.2.a.e

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.