Elliptic curve isogeny class with LMFDB label 54208.bj (Cremona label 54208bx)

• Label: 54208.bj
• Number of curves: $4$
• Conductor: $54208$
• CM: no
• Rank: $1$

Elliptic curves in class 54208.bj

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
54208.bj1	54208bx4	[0, 0, 0, -144716, 21189520]	[2]	163840
54208.bj2	54208bx3	[0, 0, 0, -28556, -1469424]	[2]	163840
54208.bj3	54208bx2	[0, 0, 0, -9196, 319440]	[2, 2]	81920
54208.bj4	54208bx1	[0, 0, 0, 484, 21296]	[2]	40960	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 54208.bj have rank \(1\).

Complex multiplication

The elliptic curves in class 54208.bj do not have complex multiplication.

Modular form 54208.2.a.bj

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.