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

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

Elliptic curves in class 221067z

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
221067.bb3	221067z1	[1, -1, 0, -53928, 4777339]	[2]	798720	\(\Gamma_0(N)\)-optimal
221067.bb2	221067z2	[1, -1, 0, -102933, -5209880]	[2, 2]	1597440
221067.bb4	221067z3	[1, -1, 0, 370782, -39980561]	[2]	3194880
221067.bb1	221067z4	[1, -1, 0, -1360728, -610209275]	[2]	3194880

Rank

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

Complex multiplication

The elliptic curves in class 221067z 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 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.