Elliptic curve isogeny class with LMFDB label 350658.o (Cremona label 350658o)

• Label: 350658.o
• Number of curves: $2$
• Conductor: $350658$
• CM: no
• Rank: $1$

Elliptic curves in class 350658.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
350658.o1	350658o2	\([1, -1, 0, -162621663, -789189905971]\)	\(10247866248460329/132640156544\)	\(6156026556514460139330432\)	\([2]\)	\(87284736\)	\(3.5648\)
350658.o2	350658o1	\([1, -1, 0, -1623903, -32403835315]\)	\(-10204192809/9767862272\)	\(-453340987477353191817216\)	\([2]\)	\(43642368\)	\(3.2183\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 350658.o have rank \(1\).

Complex multiplication

The elliptic curves in class 350658.o do not have complex multiplication.

Modular form 350658.2.a.o

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.