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 \(0\).

Complex multiplication

The elliptic curves in class 4032.bb do not have complex multiplication.

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.