Elliptic curve isogeny class with LMFDB label 166410.a (Cremona label 166410by)

• Label: 166410.a
• Number of curves: $4$
• Conductor: $166410$
• CM: no
• Rank: $1$

Elliptic curves in class 166410.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
166410.a1	166410by3	[1, -1, 0, -13953825, 19929326575]	[2]	11354112
166410.a2	166410by2	[1, -1, 0, -1473075, -172169375]	[2, 2]	5677056
166410.a3	166410by1	[1, -1, 0, -1140255, -467780099]	[2]	2838528	\(\Gamma_0(N)\)-optimal
166410.a4	166410by4	[1, -1, 0, 5682555, -1358572829]	[2]	11354112

Rank

The elliptic curves in class 166410.a have rank \(1\).

Complex multiplication

The elliptic curves in class 166410.a do not have complex multiplication.

Modular form 166410.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.