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

• Label: 46410.be
• Number of curves: 8
• Conductor: 46410
• CM: no
• Rank: 1

Elliptic curves in class 46410.be

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
46410.be1	46410be8	[1, 0, 1, -7806648, 1811198446]	[2]	3649536
46410.be2	46410be5	[1, 0, 1, -5949723, 5585394256]	[6]	1216512
46410.be3	46410be6	[1, 0, 1, -4730848, -3936856594]	[2, 2]	1824768
46410.be4	46410be3	[1, 0, 1, -4722848, -3950910994]	[2]	912384
46410.be5	46410be7	[1, 0, 1, -1783048, -8785398034]	[2]	3649536
46410.be6	46410be2	[1, 0, 1, -375973, 85217756]	[2, 6]	608256
46410.be7	46410be1	[1, 0, 1, -63473, -4407244]	[6]	304128	\(\Gamma_0(N)\)-optimal
46410.be8	46410be4	[1, 0, 1, 197777, 322291256]	[6]	1216512

Rank

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

Modular form 46410.2.a.be

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.

\(\left(\begin{array}{rrrrrrrr} 1 & 3 & 2 & 4 & 4 & 6 & 12 & 12 \\ 3 & 1 & 6 & 12 & 12 & 2 & 4 & 4 \\ 2 & 6 & 1 & 2 & 2 & 3 & 6 & 6 \\ 4 & 12 & 2 & 1 & 4 & 6 & 3 & 12 \\ 4 & 12 & 2 & 4 & 1 & 6 & 12 & 3 \\ 6 & 2 & 3 & 6 & 6 & 1 & 2 & 2 \\ 12 & 4 & 6 & 3 & 12 & 2 & 1 & 4 \\ 12 & 4 & 6 & 12 & 3 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.