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 order	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]	4	2
24.a4	24a1	[0, -1, 0, -4, 4]	8	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 \(0\).

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.