Elliptic Curve Isogeny Class with LMFDB label 4032.bb (Cremona label 4032g)

• Label: 4032.bb
• Number of curves: 4
• Conductor: 4032
• CM: no
• Rank: 0

Elliptic curves in class 4032.bb

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
4032.bb1	4032g3	[0, 0, 0, -10764, -429840]	[2]	4096
4032.bb2	4032g4	[0, 0, 0, -2124, 29808]	[2]	4096
4032.bb3	4032g2	[0, 0, 0, -684, -6480]	[2, 2]	2048
4032.bb4	4032g1	[0, 0, 0, 36, -432]	[2]	1024	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 4032.bb have rank \(0\).

Modular form 4032.2.a.bb

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.