Elliptic curve isogeny class with LMFDB label 97020.cu (Cremona label 97020cv)

• Label: 97020.cu
• Number of curves: $4$
• Conductor: $97020$
• CM: no
• Rank: $0$

Elliptic curves in class 97020.cu

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
97020.cu1	97020cv4	[0, 0, 0, -3131247, -2132671786]	[2]	1492992
97020.cu2	97020cv3	[0, 0, 0, -196392, -33076519]	[2]	746496
97020.cu3	97020cv2	[0, 0, 0, -44247, -2024386]	[2]	497664
97020.cu4	97020cv1	[0, 0, 0, -19992, 1065701]	[2]	248832	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 97020.cu have rank \(0\).

Complex multiplication

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

Modular form 97020.2.a.cu

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.