Elliptic curve isogeny class with LMFDB label 159201.w (Cremona label 159201x)

• Label: 159201.w
• Number of curves: $2$
• Conductor: $159201$
• CM: $\Q(\sqrt{-3})$
• Rank: $0$

Elliptic curves in class 159201.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
159201.w1	159201x1	$[0, 0, 1, 0, -547576262]$	$0$	$-129530777370669149643$	$[]$	$3102624$	$2.5381$	$\Gamma_0(N)$-optimal	$-3$
159201.w2	159201x2	$[0, 0, 1, 0, 14784559067]$	$0$	$-94427936703217810089747$	$[]$	$9307872$	$3.0874$		$-3$

Rank

The elliptic curves in class 159201.w have rank $0$.

Complex multiplication

Each elliptic curve in class 159201.w has complex multiplication by an order in the imaginary quadratic field $\Q(\sqrt{-3})$.

Modular form 159201.2.a.w

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.