Elliptic curve isogeny class with Cremona label 89280bu (LMFDB label 89280.f)

• Label: 89280bu
• Number of curves: $2$
• Conductor: $89280$
• CM: no
• Rank: $1$

Elliptic curves in class 89280bu

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
89280.f1	89280bu1	$[0, 0, 0, -3648, -84832]$	$-449511424/155$	$-1851310080$	$[]$	$69120$	$0.74934$	$\Gamma_0(N)$-optimal
89280.f2	89280bu2	$[0, 0, 0, 2112, -318688]$	$87228416/3723875$	$-44477724672000$	$[]$	$207360$	$1.2986$

Rank

The elliptic curves in class 89280bu have rank $1$.

Complex multiplication

The elliptic curves in class 89280bu do not have complex multiplication.

Modular form 89280.2.a.bu

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.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.