Elliptic curve isogeny class with LMFDB label 97020.z (Cremona label 97020bu)

• Label: 97020.z
• Number of curves: $4$
• Conductor: $97020$
• CM: no
• Rank: $1$

Elliptic curves in class 97020.z

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
97020.z1	97020bu4	[0, 0, 0, -21871983, 20758643318]	[2]	11943936
97020.z2	97020bu2	[0, 0, 0, -18855543, 31514220542]	[2]	3981312
97020.z3	97020bu1	[0, 0, 0, -1173648, 496640333]	[2]	1990656	\(\Gamma_0(N)\)-optimal
97020.z4	97020bu3	[0, 0, 0, 4541712, 2379994337]	[2]	5971968

Rank

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

Complex multiplication

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

Modular form 97020.2.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 LMFDB numbering.

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.