Elliptic curve isogeny class with LMFDB label 230640.cm (Cremona label 230640cm)

• Label: 230640.cm
• Number of curves: $2$
• Conductor: $230640$
• CM: no
• Rank: $0$

Elliptic curves in class 230640.cm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
230640.cm1	230640cm2	\([0, 1, 0, -8256, -164556]\)	\(510082399/202500\)	\(24709847040000\)	\([2]\)	\(589824\)	\(1.2682\)
230640.cm2	230640cm1	\([0, 1, 0, 1664, -17740]\)	\(4173281/3600\)	\(-439286169600\)	\([2]\)	\(294912\)	\(0.92159\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 230640.cm have rank \(0\).

Complex multiplication

The elliptic curves in class 230640.cm do not have complex multiplication.

Modular form 230640.2.a.cm

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.