Elliptic curve isogeny class with LMFDB label 144.b (Cremona label 144b)

• Label: 144.b
• Number of curves: $6$
• Conductor: $144$
• CM: no
• Rank: $0$

Elliptic curves in class 144.b

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
144.b1	144b5	[0, 0, 0, -3459, -78302]	[2]	64
144.b2	144b4	[0, 0, 0, -579, 5362]	[4]	32
144.b3	144b3	[0, 0, 0, -219, -1190]	[2, 2]	32
144.b4	144b2	[0, 0, 0, -39, 70]	[2, 2]	16
144.b5	144b1	[0, 0, 0, 6, 7]	[2]	8	\(\Gamma_0(N)\)-optimal
144.b6	144b6	[0, 0, 0, 141, -4718]	[2]	64

Rank

The elliptic curves in class 144.b have rank \(0\).

Complex multiplication

The elliptic curves in class 144.b do not have complex multiplication.

Modular form 144.2.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.

\(\left(\begin{array}{rrrrrr} 1 & 8 & 2 & 4 & 8 & 4 \\ 8 & 1 & 4 & 2 & 4 & 8 \\ 2 & 4 & 1 & 2 & 4 & 2 \\ 4 & 2 & 2 & 1 & 2 & 4 \\ 8 & 4 & 4 & 2 & 1 & 8 \\ 4 & 8 & 2 & 4 & 8 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.