Elliptic curve isogeny class with Cremona label 41280dk (LMFDB label 41280.ct)

• Label: 41280dk
• Number of curves: $4$
• Conductor: $41280$
• CM: no
• Rank: $0$

Elliptic curves in class 41280dk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
41280.ct3	41280dk1	\([0, 1, 0, -4385, 110175]\)	\(35578826569/51600\)	\(13526630400\)	\([2]\)	\(36864\)	\(0.84606\)	\(\Gamma_0(N)\)-optimal
41280.ct2	41280dk2	\([0, 1, 0, -5665, 39263]\)	\(76711450249/41602500\)	\(10905845760000\)	\([2, 2]\)	\(73728\)	\(1.1926\)
41280.ct4	41280dk3	\([0, 1, 0, 21855, 330975]\)	\(4403686064471/2721093750\)	\(-713318400000000\)	\([4]\)	\(147456\)	\(1.5392\)
41280.ct1	41280dk4	\([0, 1, 0, -53665, -4770337]\)	\(65202655558249/512820150\)	\(134432725401600\)	\([2]\)	\(147456\)	\(1.5392\)

Rank

The elliptic curves in class 41280dk have rank \(0\).

Complex multiplication

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

Modular form 41280.2.a.dk

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.