Elliptic curve isogeny class with Cremona label 41280u (LMFDB label 41280.bu)

• Label: 41280u
• Number of curves: $4$
• Conductor: $41280$
• CM: no
• Rank: $1$

Elliptic curves in class 41280u

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
41280.bu3	41280u1	[0, -1, 0, -4385, -110175]	[2]	36864	\(\Gamma_0(N)\)-optimal
41280.bu2	41280u2	[0, -1, 0, -5665, -39263]	[2, 2]	73728
41280.bu4	41280u3	[0, -1, 0, 21855, -330975]	[2]	147456
41280.bu1	41280u4	[0, -1, 0, -53665, 4770337]	[4]	147456

Rank

The elliptic curves in class 41280u have rank \(1\).

Complex multiplication

The elliptic curves in class 41280u do not have complex multiplication.

Modular form 41280.2.a.u

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.