Elliptic curve isogeny class with Cremona label 259896bx (LMFDB label 259896.bx)

• Label: 259896bx
• Number of curves: $2$
• Conductor: $259896$
• CM: no
• Rank: $1$

Elliptic curves in class 259896bx

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
259896.bx2	259896bx1	\([0, 1, 0, 621, -1254]\)	\(14047232/8619\)	\(-16224267696\)	\([2]\)	\(184320\)	\(0.64831\)	\(\Gamma_0(N)\)-optimal
259896.bx1	259896bx2	\([0, 1, 0, -2564, -12720]\)	\(61918288/33813\)	\(1018384803072\)	\([2]\)	\(368640\)	\(0.99489\)

Rank

The elliptic curves in class 259896bx have rank \(1\).

Complex multiplication

The elliptic curves in class 259896bx do not have complex multiplication.

Modular form 259896.2.a.bx

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.