Elliptic curve isogeny class with LMFDB label 110400.gx (Cremona label 110400dq)

• Label: 110400.gx
• Number of curves: $6$
• Conductor: $110400$
• CM: no
• Rank: $1$

Elliptic curves in class 110400.gx

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
110400.gx1	110400dq4	[0, 1, 0, -176640033, 903552768063]	[2]	7077888
110400.gx2	110400dq6	[0, 1, 0, -41328033, -87610415937]	[2]	14155776
110400.gx3	110400dq3	[0, 1, 0, -11328033, 13339584063]	[2, 2]	7077888
110400.gx4	110400dq2	[0, 1, 0, -11040033, 14115168063]	[2, 2]	3538944
110400.gx5	110400dq1	[0, 1, 0, -672033, 232416063]	[2]	1769472	\(\Gamma_0(N)\)-optimal
110400.gx6	110400dq5	[0, 1, 0, 14063967, 64656816063]	[2]	14155776

Rank

The elliptic curves in class 110400.gx have rank \(1\).

Modular form 110400.2.a.gx

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.