Elliptic curve isogeny class with Cremona label 166782cv (LMFDB label 166782.t)

• Label: 166782cv
• Number of curves: $4$
• Conductor: $166782$
• CM: no
• Rank: $1$

Elliptic curves in class 166782cv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
166782.t4	166782cv1	\([1, 1, 0, -35024, -9240528]\)	\(-100999381393/723148272\)	\(-34021147549867632\)	\([2]\)	\(1382400\)	\(1.8553\)	\(\Gamma_0(N)\)-optimal
166782.t3	166782cv2	\([1, 1, 0, -908644, -333004100]\)	\(1763535241378513/4612311396\)	\(216990253071159876\)	\([2, 2]\)	\(2764800\)	\(2.2019\)
166782.t2	166782cv3	\([1, 1, 0, -1266034, -47163578]\)	\(4770223741048753/2740574865798\)	\(128932759007923678038\)	\([2]\)	\(5529600\)	\(2.5485\)
166782.t1	166782cv4	\([1, 1, 0, -14529174, -21322240830]\)	\(7209828390823479793/49509306\)	\(2329208918468586\)	\([2]\)	\(5529600\)	\(2.5485\)

Rank

The elliptic curves in class 166782cv have rank \(1\).

Complex multiplication

The elliptic curves in class 166782cv do not have complex multiplication.

Modular form 166782.2.a.cv

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.