Elliptic curve isogeny class with LMFDB label 226512.do (Cremona label 226512bt)

• Label: 226512.do
• Number of curves: $4$
• Conductor: $226512$
• CM: no
• Rank: $0$

Elliptic curves in class 226512.do

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
226512.do1	226512bt4	$[0, 0, 0, -814935, 262864514]$	$181037698000/14480427$	$4787457957873347328$	$[2]$	$3317760$	$2.3277$
226512.do2	226512bt3	$[0, 0, 0, -798600, 274687787]$	$2725888000000/19773$	$408579138416592$	$[2]$	$1658880$	$1.9811$
226512.do3	226512bt2	$[0, 0, 0, -161535, -24918982]$	$1409938000/4563$	$1508599895692032$	$[2]$	$1105920$	$1.7784$
226512.do4	226512bt1	$[0, 0, 0, -14520, -14641]$	$16384000/9477$	$195827871075408$	$[2]$	$552960$	$1.4318$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 226512.do have rank $0$.

Complex multiplication

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

Modular form 226512.2.a.do

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.

$\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.