Elliptic curve isogeny class with LMFDB label 286650.gn (Cremona label 286650gn)

• Label: 286650.gn
• Number of curves: $2$
• Conductor: $286650$
• CM: no
• Rank: $0$

Elliptic curves in class 286650.gn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
286650.gn1	286650gn2	\([1, -1, 0, -124918992, -537360315584]\)	\(-6434774386429585/140608\)	\(-4710704195925000000\)	\([]\)	\(30326400\)	\(3.1094\)
286650.gn2	286650gn1	\([1, -1, 0, -1438992, -839715584]\)	\(-9836106385/3407872\)	\(-114171860275200000000\)	\([]\)	\(10108800\)	\(2.5601\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 286650.gn have rank \(0\).

Complex multiplication

The elliptic curves in class 286650.gn do not have complex multiplication.

Modular form 286650.2.a.gn

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.