Elliptic curve isogeny class with Cremona label 93600ej (LMFDB label 93600.bx)

• Label: 93600ej
• Number of curves: $2$
• Conductor: $93600$
• CM: no
• Rank: $0$

Elliptic curves in class 93600ej

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
93600.bx1	93600ej1	\([0, 0, 0, -3225, -56500]\)	\(5088448/1053\)	\(767637000000\)	\([2]\)	\(131072\)	\(0.99573\)	\(\Gamma_0(N)\)-optimal
93600.bx2	93600ej2	\([0, 0, 0, 6900, -340000]\)	\(778688/1521\)	\(-70963776000000\)	\([2]\)	\(262144\)	\(1.3423\)

Rank

The elliptic curves in class 93600ej have rank \(0\).

Complex multiplication

The elliptic curves in class 93600ej do not have complex multiplication.

Modular form 93600.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.