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

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

Elliptic curves in class 221067.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
221067.g1	221067f1	\([1, -1, 1, -320, 938]\)	\(3723875/1827\)	\(1772736273\)	\([2]\)	\(79872\)	\(0.46791\)	\(\Gamma_0(N)\)-optimal
221067.g2	221067f2	\([1, -1, 1, 1165, 6284]\)	\(180362125/123627\)	\(-119955154473\)	\([2]\)	\(159744\)	\(0.81448\)

Rank

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

Complex multiplication

The elliptic curves in class 221067.g 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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.