Elliptic curve isogeny class with Cremona label 31680cs (LMFDB label 31680.be)

• Label: 31680cs
• Number of curves: $2$
• Conductor: $31680$
• CM: no
• Rank: $0$

Elliptic curves in class 31680cs

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
31680.be1	31680cs1	\([0, 0, 0, -588, 14992]\)	\(-117649/440\)	\(-84085309440\)	\([]\)	\(23040\)	\(0.78192\)	\(\Gamma_0(N)\)-optimal
31680.be2	31680cs2	\([0, 0, 0, 5172, -355952]\)	\(80062991/332750\)	\(-63589515264000\)	\([]\)	\(69120\)	\(1.3312\)

Rank

The elliptic curves in class 31680cs have rank \(0\).

Complex multiplication

The elliptic curves in class 31680cs do not have complex multiplication.

Modular form 31680.2.a.cs

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.