Elliptic curve isogeny class with LMFDB label 58800.bx (Cremona label 58800fj)

• Label: 58800.bx
• Number of curves: $4$
• Conductor: $58800$
• CM: no
• Rank: $1$

Elliptic curves in class 58800.bx

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
58800.bx1	58800fj4	[0, -1, 0, -2205408, -1259786688]	[2]	1179648
58800.bx2	58800fj2	[0, -1, 0, -147408, -16754688]	[2, 2]	589824
58800.bx3	58800fj1	[0, -1, 0, -49408, 4021312]	[2]	294912	\(\Gamma_0(N)\)-optimal
58800.bx4	58800fj3	[0, -1, 0, 342592, -104954688]	[2]	1179648

Rank

The elliptic curves in class 58800.bx have rank \(1\).

Complex multiplication

The elliptic curves in class 58800.bx do not have complex multiplication.

Modular form 58800.2.a.bx

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.