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

• Label: 266805n
• Number of curves: $2$
• Conductor: $266805$
• CM: no
• Rank: $1$

Elliptic curves in class 266805n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
266805.n2	266805n1	\([0, 0, 1, -477065127, -4696802715740]\)	\(-79028701534867456/16987307596875\)	\(-2581050073789941421755346875\)	\([]\)	\(276480000\)	\(3.9810\)	\(\Gamma_0(N)\)-optimal
266805.n1	266805n2	\([0, 0, 1, -1429558977, 393316569270490]\)	\(-2126464142970105856/438611057788643355\)	\(-66642526875696304520172661615755\)	\([]\)	\(1382400000\)	\(4.7857\)

Rank

The elliptic curves in class 266805n have rank \(1\).

Complex multiplication

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

Modular form 266805.2.a.n

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.

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.