Elliptic curve isogeny class with LMFDB label 221067.z (Cremona label 221067y)

• Label: 221067.z
• Number of curves: $4$
• Conductor: $221067$
• CM: no
• Rank: $0$

Elliptic curves in class 221067.z

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
221067.z1	221067y3	[1, -1, 0, -12985803, 18014708344]	[2]	5898240
221067.z2	221067y2	[1, -1, 0, -827118, 270323455]	[2, 2]	2949120
221067.z3	221067y1	[1, -1, 0, -168273, -21544880]	[2]	1474560	\(\Gamma_0(N)\)-optimal
221067.z4	221067y4	[1, -1, 0, 790047, 1197605866]	[2]	5898240

Rank

The elliptic curves in class 221067.z have rank \(0\).

Complex multiplication

The elliptic curves in class 221067.z do not have complex multiplication.

Modular form 221067.2.a.z

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.