Elliptic curve isogeny class with LMFDB label 226512.ea (Cremona label 226512by)

• Label: 226512.ea
• Number of curves: $2$
• Conductor: $226512$
• CM: no
• Rank: $1$

Elliptic curves in class 226512.ea

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
226512.ea1	226512by2	$[0, 0, 0, -6308940, -6099338113]$	$11107182592000/13$	$32503665843792$	$[]$	$3421440$	$2.3066$
226512.ea2	226512by1	$[0, 0, 0, -79860, -7920781]$	$22528000/2197$	$5493119527600848$	$[]$	$1140480$	$1.7573$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 226512.ea have rank $1$.

Complex multiplication

The elliptic curves in class 226512.ea do not have complex multiplication.

Modular form 226512.2.a.ea

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.