Elliptic curve isogeny class with Cremona label 20160eo (LMFDB label 20160.dp)

• Label: 20160eo
• Number of curves: $4$
• Conductor: $20160$
• CM: no
• Rank: $0$

Elliptic curves in class 20160eo

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
20160.dp3	20160eo1	[0, 0, 0, -1452, 20176]	[2]	16384	\(\Gamma_0(N)\)-optimal
20160.dp2	20160eo2	[0, 0, 0, -4332, -84656]	[2, 2]	32768
20160.dp1	20160eo3	[0, 0, 0, -64812, -6350384]	[2]	65536
20160.dp4	20160eo4	[0, 0, 0, 10068, -528176]	[2]	65536

Rank

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

Complex multiplication

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

Modular form 20160.2.a.eo

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.