Elliptic curve isogeny class with LMFDB label 126.a (Cremona label 126b)

• Label: 126.a
• Number of curves: $6$
• Conductor: $126$
• CM: no
• Rank: $0$

Elliptic curves in class 126.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
126.a1	126b3	[1, -1, 0, -12096, -509036]	[2]	128
126.a2	126b5	[1, -1, 0, -8226, 286474]	[2]	256
126.a3	126b4	[1, -1, 0, -936, -3668]	[2, 2]	128
126.a4	126b2	[1, -1, 0, -756, -7808]	[2, 2]	64
126.a5	126b1	[1, -1, 0, -36, -176]	[2]	32	\(\Gamma_0(N)\)-optimal
126.a6	126b6	[1, -1, 0, 3474, -31010]	[2]	256

Rank

The elliptic curves in class 126.a have rank \(0\).

Modular form 126.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.