Elliptic curve isogeny class with LMFDB label 326700.j (Cremona label 326700j)

• Label: 326700.j
• Number of curves: $2$
• Conductor: $326700$
• CM: $\Q(\sqrt{-3})$
• Rank: $1$

Elliptic curves in class 326700.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
326700.j1	326700j1	$[0, 0, 0, 0, -100656875]$	$0$	$-4376940401418750000$	$[]$	$7056720$	$2.2558$	$\Gamma_0(N)$-optimal	$-3$
326700.j2	326700j2	$[0, 0, 0, 0, 2717735625]$	$0$	$-3190789552634268750000$	$[]$	$21170160$	$2.8051$		$-3$

Rank

The elliptic curves in class 326700.j have rank $1$.

Complex multiplication

Each elliptic curve in class 326700.j has complex multiplication by an order in the imaginary quadratic field $\Q(\sqrt{-3})$.

Modular form 326700.2.a.j

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.