Elliptic curve isogeny class with LMFDB label 106470.bg (Cremona label 106470bu)

• Label: 106470.bg
• Number of curves: $4$
• Conductor: $106470$
• CM: no
• Rank: $1$

Elliptic curves in class 106470.bg

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
106470.bg1	106470bu4	[1, -1, 0, -568125, -164679449]	[2]	1179648
106470.bg2	106470bu2	[1, -1, 0, -35775, -2525639]	[2, 2]	589824
106470.bg3	106470bu1	[1, -1, 0, -5355, 96565]	[2]	294912	\(\Gamma_0(N)\)-optimal
106470.bg4	106470bu3	[1, -1, 0, 9855, -8557925]	[2]	1179648

Rank

The elliptic curves in class 106470.bg have rank \(1\).

Complex multiplication

The elliptic curves in class 106470.bg do not have complex multiplication.

Modular form 106470.2.a.bg

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.