Elliptic curve isogeny class with Cremona label 97020g (LMFDB label 97020.j)

• Label: 97020g
• Number of curves: $2$
• Conductor: $97020$
• CM: no
• Rank: $1$

Elliptic curves in class 97020g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
97020.j2	97020g1	[0, 0, 0, 777, 8078]	[]	82944	\(\Gamma_0(N)\)-optimal
97020.j1	97020g2	[0, 0, 0, -20223, 1115478]	[]	248832

Rank

The elliptic curves in class 97020g have rank \(1\).

Complex multiplication

The elliptic curves in class 97020g do not have complex multiplication.

Modular form 97020.2.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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.