Elliptic curve isogeny class with LMFDB label 226512.bn (Cremona label 226512et)

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

Elliptic curves in class 226512.bn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
226512.bn1	226512et2	$[0, 0, 0, -51523131, -116943983926]$	$5718957389087906/1075876263891$	$2845613534049521269512192$	$[2]$	$36126720$	$3.4101$
226512.bn2	226512et1	$[0, 0, 0, 6455229, -10692841390]$	$22494434350748/50367250791$	$-66608835669162407402496$	$[2]$	$18063360$	$3.0636$	$\Gamma_0(N)$-optimal

Rank

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

Complex multiplication

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

Modular form 226512.2.a.bn

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.