Elliptic curve isogeny class with LMFDB label 24.a (Cremona label 24a)

• Label: 24.a
• Number of curves: $6$
• Conductor: $24$
• CM: no
• Rank: $0$

Elliptic curves in class 24.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
24.a1	24a5	[0, -1, 0, -384, -2772]	[2]	4
24.a2	24a3	[0, -1, 0, -64, 220]	[4]	2
24.a3	24a2	[0, -1, 0, -24, -36]	[2, 2]	2
24.a4	24a1	[0, -1, 0, -4, 4]	[2, 4]	1	\(\Gamma_0(N)\)-optimal
24.a5	24a4	[0, -1, 0, 1, 0]	[4]	2
24.a6	24a6	[0, -1, 0, 16, -180]	[2]	4

Rank

The elliptic curves in class 24.a have rank \(0\).

Complex multiplication

The elliptic curves in class 24.a do not have complex multiplication.

Modular form 24.2.a.a

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.