Elliptic Curve Isogeny Class with LMFDB label 54.b (Cremona label 54b)

• Label: 54.b
• Number of curves: 3
• Conductor: 54
• CM: no
• Rank: 0

Elliptic curves in class 54.b

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
54.b1	54b2	[1, -1, 1, -29, -53]	[]	6
54.b2	54b3	[1, -1, 1, -14, 29]	[9]	6
54.b3	54b1	[1, -1, 1, 1, -1]	[3]	2	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 54.b have rank \(0\).

Modular form 54.2.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.

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.