Elliptic curve isogeny class with LMFDB label 166410.bz (Cremona label 166410m)

• Label: 166410.bz
• Number of curves: $2$
• Conductor: $166410$
• CM: no
• Rank: $1$

Elliptic curves in class 166410.bz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
166410.bz1	166410m2	\([1, -1, 1, -28667243, -58166830493]\)	\(7111117467/125000\)	\(45798751762744818375000\)	\([2]\)	\(15257088\)	\(3.1446\)
166410.bz2	166410m1	\([1, -1, 1, -44723, -2604794669]\)	\(-27/8000\)	\(-2931120112815668376000\)	\([2]\)	\(7628544\)	\(2.7980\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 166410.bz have rank \(1\).

Complex multiplication

The elliptic curves in class 166410.bz do not have complex multiplication.

Modular form 166410.2.a.bz

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.