Elliptic curve isogeny class with LMFDB label 259920.ep (Cremona label 259920ep)

• Label: 259920.ep
• Number of curves: $2$
• Conductor: $259920$
• CM: no
• Rank: $0$

Elliptic curves in class 259920.ep

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
259920.ep1	259920ep2	[0, 0, 0, -525027, -146426654]	[2]	1474560
259920.ep2	259920ep1	[0, 0, 0, -32547, -2327006]	[2]	737280	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 259920.ep have rank \(0\).

Complex multiplication

The elliptic curves in class 259920.ep do not have complex multiplication.

Modular form 259920.2.a.ep

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.