Elliptic curve isogeny class with LMFDB label 364560.ej (Cremona label 364560ej)

• Label: 364560.ej
• Number of curves: $2$
• Conductor: $364560$
• CM: no
• Rank: $1$

Elliptic curves in class 364560.ej

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
364560.ej1	364560ej2	\([0, 1, 0, -409656, -101076396]\)	\(-15777367606441/3574920\)	\(-1722719285575680\)	\([]\)	\(3265920\)	\(1.9157\)
364560.ej2	364560ej1	\([0, 1, 0, 1944, -481356]\)	\(1685159/209250\)	\(-100835546112000\)	\([]\)	\(1088640\)	\(1.3664\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 364560.ej have rank \(1\).

Complex multiplication

The elliptic curves in class 364560.ej do not have complex multiplication.

Modular form 364560.2.a.ej

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.