Elliptic curve isogeny class with Cremona label 16170bq (LMFDB label 16170.bq)

• Label: 16170bq
• Number of curves: $4$
• Conductor: $16170$
• CM: no
• Rank: $0$

Elliptic curves in class 16170bq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
16170.bq3	16170bq1	\([1, 1, 1, -48560, 2818577]\)	\(107639597521009/32699842560\)	\(3847103777341440\)	\([4]\)	\(122880\)	\(1.6955\)	\(\Gamma_0(N)\)-optimal
16170.bq2	16170bq2	\([1, 1, 1, -299440, -61005295]\)	\(25238585142450289/995844326400\)	\(117160089156633600\)	\([2, 2]\)	\(245760\)	\(2.0421\)
16170.bq1	16170bq3	\([1, 1, 1, -4744720, -3979964143]\)	\(100407751863770656369/166028940000\)	\(19533138762060000\)	\([2]\)	\(491520\)	\(2.3887\)
16170.bq4	16170bq4	\([1, 1, 1, 131760, -221756655]\)	\(2150235484224911/181905111732960\)	\(-21400954490271011040\)	\([2]\)	\(491520\)	\(2.3887\)

Rank

The elliptic curves in class 16170bq have rank \(0\).

Complex multiplication

The elliptic curves in class 16170bq do not have complex multiplication.

Modular form 16170.2.a.bq

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.