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

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

Elliptic curves in class 97020bu

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

Rank

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

Complex multiplication

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

Modular form 97020.2.a.bu

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.