Elliptic curve isogeny class with Cremona label 116160cl (LMFDB label 116160.cq)

• Label: 116160cl
• Number of curves: $4$
• Conductor: $116160$
• CM: no
• Rank: $1$

Elliptic curves in class 116160cl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
116160.cq3	116160cl1	\([0, -1, 0, -108940, 13876150]\)	\(1261112198464/675\)	\(76531435200\)	\([2]\)	\(491520\)	\(1.4180\)	\(\Gamma_0(N)\)-optimal
116160.cq2	116160cl2	\([0, -1, 0, -109545, 13714857]\)	\(20034997696/455625\)	\(3306158000640000\)	\([2, 2]\)	\(983040\)	\(1.7646\)
116160.cq4	116160cl3	\([0, -1, 0, 11455, 42246657]\)	\(2863288/13286025\)	\(-771260538389299200\)	\([2]\)	\(1966080\)	\(2.1112\)
116160.cq1	116160cl4	\([0, -1, 0, -240225, -25149375]\)	\(26410345352/10546875\)	\(612251481600000000\)	\([2]\)	\(1966080\)	\(2.1112\)

Rank

The elliptic curves in class 116160cl have rank \(1\).

Complex multiplication

The elliptic curves in class 116160cl do not have complex multiplication.

Modular form 116160.2.a.cl

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.