Elliptic curve isogeny class with Cremona label 6336cn (LMFDB label 6336.cn)

• Label: 6336cn
• Number of curves: $2$
• Conductor: $6336$
• CM: no
• Rank: $0$

Elliptic curves in class 6336cn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6336.cn1	6336cn1	\([0, 0, 0, -288588, -59671280]\)	\(55635379958596/24057\)	\(1149341073408\)	\([2]\)	\(43008\)	\(1.6566\)	\(\Gamma_0(N)\)-optimal
6336.cn2	6336cn2	\([0, 0, 0, -287148, -60296240]\)	\(-27403349188178/578739249\)	\(-55299396405952512\)	\([2]\)	\(86016\)	\(2.0032\)

Rank

The elliptic curves in class 6336cn have rank \(0\).

Complex multiplication

The elliptic curves in class 6336cn do not have complex multiplication.

Modular form 6336.2.a.cn

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 Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.