Elliptic curve isogeny class with Cremona label 5520v (LMFDB label 5520.o)

• Label: 5520v
• Number of curves: $4$
• Conductor: $5520$
• CM: no
• Rank: $0$

Elliptic curves in class 5520v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5520.o3	5520v1	\([0, -1, 0, -165, 612]\)	\(31238127616/9703125\)	\(155250000\)	\([2]\)	\(2016\)	\(0.27614\)	\(\Gamma_0(N)\)-optimal
5520.o4	5520v2	\([0, -1, 0, 460, 3612]\)	\(41957807024/48205125\)	\(-12340512000\)	\([2]\)	\(4032\)	\(0.62271\)
5520.o1	5520v3	\([0, -1, 0, -12165, 520512]\)	\(12444451776495616/912525\)	\(14600400\)	\([2]\)	\(6048\)	\(0.82545\)
5520.o2	5520v4	\([0, -1, 0, -12140, 522732]\)	\(-772993034343376/6661615005\)	\(-1705373441280\)	\([2]\)	\(12096\)	\(1.1720\)

Rank

The elliptic curves in class 5520v have rank \(0\).

Complex multiplication

The elliptic curves in class 5520v do not have complex multiplication.

Modular form 5520.2.a.v

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.