Elliptic curve isogeny class with Cremona label 256880r (LMFDB label 256880.r)

• Label: 256880r
• Number of curves: $2$
• Conductor: $256880$
• CM: no
• Rank: $1$

Elliptic curves in class 256880r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
256880.r1	256880r1	\([0, 1, 0, -155705, -22107422]\)	\(5405726654464/407253125\)	\(31451728784450000\)	\([2]\)	\(1843200\)	\(1.9108\)	\(\Gamma_0(N)\)-optimal
256880.r2	256880r2	\([0, 1, 0, 149340, -97880600]\)	\(298091207216/3525390625\)	\(-4356195122500000000\)	\([2]\)	\(3686400\)	\(2.2574\)

Rank

The elliptic curves in class 256880r have rank \(1\).

Complex multiplication

The elliptic curves in class 256880r do not have complex multiplication.

Modular form 256880.2.a.r

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.