Elliptic curve isogeny class with LMFDB label 188760.bk (Cremona label 188760cg)

• Label: 188760.bk
• Number of curves: $2$
• Conductor: $188760$
• CM: no
• Rank: $0$

Elliptic curves in class 188760.bk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
188760.bk1	188760cg2	\([0, -1, 0, -11480, -450228]\)	\(61387394182/2851875\)	\(7773891840000\)	\([2]\)	\(313344\)	\(1.2347\)
188760.bk2	188760cg1	\([0, -1, 0, 400, -27300]\)	\(5180116/236925\)	\(-322915507200\)	\([2]\)	\(156672\)	\(0.88816\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 188760.bk have rank \(0\).

Complex multiplication

The elliptic curves in class 188760.bk do not have complex multiplication.

Modular form 188760.2.a.bk

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.