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.