Elliptic curve isogeny class with LMFDB label 171600.ce (Cremona label 171600ep)

• Label: 171600.ce
• Number of curves: $2$
• Conductor: $171600$
• CM: no
• Rank: $0$

Elliptic curves in class 171600.ce

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
171600.ce1	171600ep2	\([0, -1, 0, -5208, -107088]\)	\(244140625/61347\)	\(3926208000000\)	\([2]\)	\(294912\)	\(1.1265\)
171600.ce2	171600ep1	\([0, -1, 0, 792, -11088]\)	\(857375/1287\)	\(-82368000000\)	\([2]\)	\(147456\)	\(0.77993\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 171600.ce have rank \(0\).

Complex multiplication

The elliptic curves in class 171600.ce do not have complex multiplication.

Modular form 171600.2.a.ce

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.