Elliptic Curve Isogeny Class with Cremona label 46410d (LMFDB label 46410.c)

• Label: 46410d
• Number of curves: 4
• Conductor: 46410
• CM: no
• Rank: 1

Elliptic curves in class 46410d

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
46410.c4	46410d1	[1, 1, 0, -1533, -5187]	[2]	73728	\(\Gamma_0(N)\)-optimal
46410.c2	46410d2	[1, 1, 0, -15053, 700557]	[2, 2]	147456
46410.c3	46410d3	[1, 1, 0, -5953, 1550497]	[2]	294912
46410.c1	46410d4	[1, 1, 0, -240473, 45288633]	[2]	294912

Rank

The elliptic curves in class 46410d have rank \(1\).

Modular form 46410.2.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 Cremona 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 Cremona labels.