Elliptic curve isogeny class with Cremona label 283920gm (LMFDB label 283920.gm)

• Label: 283920gm
• Number of curves: $4$
• Conductor: $283920$
• CM: no
• Rank: $0$

Elliptic curves in class 283920gm

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
283920.gm3	283920gm1	[0, 1, 0, -9520, 222548]	[2]	884736	\(\Gamma_0(N)\)-optimal
283920.gm2	283920gm2	[0, 1, 0, -63600, -6029100]	[2, 2]	1769472
283920.gm4	283920gm3	[0, 1, 0, 17520, -20273772]	[2]	3538944
283920.gm1	283920gm4	[0, 1, 0, -1010000, -391024620]	[2]	3538944

Rank

The elliptic curves in class 283920gm have rank \(0\).

Complex multiplication

The elliptic curves in class 283920gm do not have complex multiplication.

Modular form 283920.2.a.gm

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.