Elliptic curve isogeny class with LMFDB label 20160.ck (Cremona label 20160cy)

• Label: 20160.ck
• Number of curves: $2$
• Conductor: $20160$
• CM: no
• Rank: $1$

Elliptic curves in class 20160.ck

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20160.ck1	20160cy1	\([0, 0, 0, -108, 208]\)	\(78732/35\)	\(61931520\)	\([2]\)	\(6144\)	\(0.19072\)	\(\Gamma_0(N)\)-optimal
20160.ck2	20160cy2	\([0, 0, 0, 372, 1552]\)	\(1608714/1225\)	\(-4335206400\)	\([2]\)	\(12288\)	\(0.53729\)

Rank

The elliptic curves in class 20160.ck have rank \(1\).

Complex multiplication

The elliptic curves in class 20160.ck do not have complex multiplication.

Modular form 20160.2.a.ck

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.