Elliptic curve isogeny class with LMFDB label 266805.bz (Cremona label 266805bz)

• Label: 266805.bz
• Number of curves: $2$
• Conductor: $266805$
• CM: no
• Rank: $2$

Elliptic curves in class 266805.bz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
266805.bz1	266805bz2	\([0, 0, 1, -44894388, 115786013593]\)	\(-65860951343104/3493875\)	\(-530859070817188603875\)	\([]\)	\(19906560\)	\(3.0446\)
266805.bz2	266805bz1	\([0, 0, 1, -71148, 423320224]\)	\(-262144/509355\)	\(-77391355448059561755\)	\([]\)	\(6635520\)	\(2.4953\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 266805.bz have rank \(2\).

Complex multiplication

The elliptic curves in class 266805.bz do not have complex multiplication.

Modular form 266805.2.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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.