Elliptic curve isogeny class with LMFDB label 5610.c (Cremona label 5610a)

• Label: 5610.c
• Number of curves: $4$
• Conductor: $5610$
• CM: no
• Rank: $1$

Elliptic curves in class 5610.c

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
5610.c1	5610a4	[1, 1, 0, -11968, 498988]	[2]	8192
5610.c2	5610a3	[1, 1, 0, -1048, 532]	[2]	8192
5610.c3	5610a2	[1, 1, 0, -748, 7552]	[2, 2]	4096
5610.c4	5610a1	[1, 1, 0, -28, 208]	[2]	2048	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 5610.c have rank \(1\).

Modular form 5610.2.a.c

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.