Elliptic curve isogeny class with LMFDB label 112632.o (Cremona label 112632v)

• Label: 112632.o
• Number of curves: $2$
• Conductor: $112632$
• CM: no
• Rank: $1$

Elliptic curves in class 112632.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
112632.o1	112632v1	$[0, 1, 0, -3160, -69376]$	$497005996/507$	$3560973312$	$[2]$	$211200$	$0.75126$	$\Gamma_0(N)$-optimal
112632.o2	112632v2	$[0, 1, 0, -2400, -102816]$	$-108879878/257049$	$-3610826938368$	$[2]$	$422400$	$1.0978$

Rank

The elliptic curves in class 112632.o have rank $1$.

Complex multiplication

The elliptic curves in class 112632.o do not have complex multiplication.

Modular form 112632.2.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.