Elliptic curve isogeny class with Cremona label 20160er (LMFDB label 20160.de)

• Label: 20160er
• Number of curves: $2$
• Conductor: $20160$
• CM: no
• Rank: $0$

Elliptic curves in class 20160er

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20160.de2	20160er1	\([0, 0, 0, -192, -5024]\)	\(-65536/875\)	\(-10450944000\)	\([]\)	\(11520\)	\(0.60412\)	\(\Gamma_0(N)\)-optimal
20160.de1	20160er2	\([0, 0, 0, -28992, -1900064]\)	\(-225637236736/1715\)	\(-20483850240\)	\([]\)	\(34560\)	\(1.1534\)

Rank

The elliptic curves in class 20160er have rank \(0\).

Complex multiplication

The elliptic curves in class 20160er do not have complex multiplication.

Modular form 20160.2.a.er

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.