Elliptic curve isogeny class with LMFDB label 53900.b (Cremona label 53900o)

• Label: 53900.b
• Number of curves: $4$
• Conductor: $53900$
• CM: no
• Rank: $1$

Elliptic curves in class 53900.b

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
53900.b1	53900o4	[0, 1, 0, -8697908, 9870581188]	[2]	1492992
53900.b2	53900o3	[0, 1, 0, -545533, 152950188]	[2]	746496
53900.b3	53900o2	[0, 1, 0, -122908, 9331188]	[2]	497664
53900.b4	53900o1	[0, 1, 0, -55533, -4952312]	[2]	248832	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 53900.b have rank \(1\).

Complex multiplication

The elliptic curves in class 53900.b do not have complex multiplication.

Modular form 53900.2.a.b

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.