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

• Label: 320892.o
• Number of curves: $2$
• Conductor: $320892$
• CM: no
• Rank: $1$

Elliptic curves in class 320892.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
320892.o1	320892o2	$[0, 1, 0, -121524, -2770044]$	$437640371152/246167259$	$111641680773452544$	$[2]$	$2419200$	$1.9613$
320892.o2	320892o1	$[0, 1, 0, -90669, -10520820]$	$2908230909952/5714397$	$161974445819472$	$[2]$	$1209600$	$1.6147$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 320892.o have rank $1$.

Complex multiplication

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

Modular form 320892.2.a.o

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.