Elliptic curve isogeny class with LMFDB label 181300.x (Cremona label 181300y)

• Label: 181300.x
• Number of curves: $2$
• Conductor: $181300$
• CM: no
• Rank: $1$

Elliptic curves in class 181300.x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
181300.x1	181300y2	$[0, 1, 0, -14726133, 21746175863]$	$750484394082304/578125$	$272063312500000000$	$[]$	$3919104$	$2.6533$
181300.x2	181300y1	$[0, 1, 0, -222133, 15557863]$	$2575826944/1266325$	$595927479700000000$	$[]$	$1306368$	$2.1040$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 181300.x have rank $1$.

Complex multiplication

The elliptic curves in class 181300.x do not have complex multiplication.

Modular form 181300.2.a.x

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.