Elliptic curve isogeny class with Cremona label 109265e (LMFDB label 109265.e)

• Label: 109265e
• Number of curves: $2$
• Conductor: $109265$
• CM: no
• Rank: $0$

Elliptic curves in class 109265e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
109265.e1	109265e1	\([1, 1, 1, -1716, 5108]\)	\(117649/65\)	\(308756775665\)	\([2]\)	\(138240\)	\(0.89517\)	\(\Gamma_0(N)\)-optimal
109265.e2	109265e2	\([1, 1, 1, 6689, 48814]\)	\(6967871/4225\)	\(-20069190418225\)	\([2]\)	\(276480\)	\(1.2417\)

Rank

The elliptic curves in class 109265e have rank \(0\).

Complex multiplication

The elliptic curves in class 109265e do not have complex multiplication.

Modular form 109265.2.a.e

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.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.