Elliptic curve isogeny class with Cremona label 9108k (LMFDB label 9108.i)

• Label: 9108k
• Number of curves: $2$
• Conductor: $9108$
• CM: no
• Rank: $0$

Elliptic curves in class 9108k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9108.i2	9108k1	\([0, 0, 0, -840, 9101]\)	\(5619712000/184437\)	\(2151273168\)	\([2]\)	\(4608\)	\(0.56415\)	\(\Gamma_0(N)\)-optimal
9108.i1	9108k2	\([0, 0, 0, -2055, -23218]\)	\(5142706000/1728243\)	\(322531621632\)	\([2]\)	\(9216\)	\(0.91072\)

Rank

The elliptic curves in class 9108k have rank \(0\).

Complex multiplication

The elliptic curves in class 9108k do not have complex multiplication.

Modular form 9108.2.a.k

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.