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 \(0\).

Modular form 20160.2.a.dp

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.