Elliptic curve isogeny class with Cremona label 43120bw (LMFDB label 43120.k)

• Label: 43120bw
• Number of curves: $4$
• Conductor: $43120$
• CM: no
• Rank: $0$

Elliptic curves in class 43120bw

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
43120.k4	43120bw1	[0, 1, 0, -2221, 38730]	[2]	41472	\(\Gamma_0(N)\)-optimal
43120.k3	43120bw2	[0, 1, 0, -4916, -76616]	[2]	82944
43120.k2	43120bw3	[0, 1, 0, -21821, -1232330]	[2]	124416
43120.k1	43120bw4	[0, 1, 0, -347916, -79103816]	[2]	248832

Rank

The elliptic curves in class 43120bw have rank \(0\).

Complex multiplication

The elliptic curves in class 43120bw do not have complex multiplication.

Modular form 43120.2.a.bw

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.