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

• Label: 221067f
• Number of curves: $2$
• Conductor: $221067$
• CM: no
• Rank: $1$

Elliptic curves in class 221067f

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
221067.g1	221067f1	[1, -1, 1, -320, 938]	[2]	79872	\(\Gamma_0(N)\)-optimal
221067.g2	221067f2	[1, -1, 1, 1165, 6284]	[2]	159744

Rank

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

Complex multiplication

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

Modular form 221067.2.a.f

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.