Elliptic curve isogeny class with Cremona label 221067g (LMFDB label 221067.l)

• Label: 221067g
• Number of curves: $4$
• Conductor: $221067$
• CM: no
• Rank: $1$

Elliptic curves in class 221067g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
221067.l4	221067g1	[1, -1, 1, 636316, 222518926]	[2]	5160960	\(\Gamma_0(N)\)-optimal
221067.l3	221067g2	[1, -1, 1, -3942929, 2180604088]	[2, 2]	10321920
221067.l1	221067g3	[1, -1, 1, -58104344, 170470952776]	[2]	20643840
221067.l2	221067g4	[1, -1, 1, -23049434, -40847245172]	[2]	20643840

Rank

The elliptic curves in class 221067g have rank \(1\).

Complex multiplication

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

Modular form 221067.2.a.g

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.