Elliptic curve isogeny class with Cremona label 60690bf (LMFDB label 60690.bf)

• Label: 60690bf
• Number of curves: $4$
• Conductor: $60690$
• CM: no
• Rank: $0$

Elliptic curves in class 60690bf

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
60690.bf3	60690bf1	[1, 0, 1, -1018, -7972]	[2]	73728	\(\Gamma_0(N)\)-optimal
60690.bf2	60690bf2	[1, 0, 1, -6798, 209356]	[2, 2]	147456
60690.bf4	60690bf3	[1, 0, 1, 1872, 708748]	[2]	294912
60690.bf1	60690bf4	[1, 0, 1, -107948, 13642076]	[2]	294912

Rank

The elliptic curves in class 60690bf have rank \(0\).

Complex multiplication

The elliptic curves in class 60690bf do not have complex multiplication.

Modular form 60690.2.a.bf

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.