Elliptic curve isogeny class with Cremona label 966e (LMFDB label 966.e)

• Label: 966e
• Number of curves: $2$
• Conductor: $966$
• CM: no
• Rank: $1$

Elliptic curves in class 966e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
966.e2	966e1	\([1, 0, 1, -1, 116]\)	\(-15625/5842368\)	\(-5842368\)	\([2]\)	\(192\)	\(-0.022728\)	\(\Gamma_0(N)\)-optimal
966.e1	966e2	\([1, 0, 1, -361, 2564]\)	\(5182207647625/91449288\)	\(91449288\)	\([2]\)	\(384\)	\(0.32385\)

Rank

The elliptic curves in class 966e have rank \(1\).

Complex multiplication

The elliptic curves in class 966e do not have complex multiplication.

Modular form 966.2.a.e

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.