Elliptic curve isogeny class with LMFDB label 134064.e (Cremona label 134064c)

• Label: 134064.e
• Number of curves: $2$
• Conductor: $134064$
• CM: no
• Rank: $0$

Elliptic curves in class 134064.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
134064.e1	134064c2	\([0, 0, 0, -494067, 147966770]\)	\(-37966934881/4952198\)	\(-1739697409572691968\)	\([]\)	\(2376000\)	\(2.2332\)
134064.e2	134064c1	\([0, 0, 0, -147, -703150]\)	\(-1/608\)	\(-213589203222528\)	\([]\)	\(475200\)	\(1.4285\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 134064.e have rank \(0\).

Complex multiplication

The elliptic curves in class 134064.e do not have complex multiplication.

Modular form 134064.2.a.e

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.

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.