Elliptic curve isogeny class with Cremona label 6480h (LMFDB label 6480.i)

• Label: 6480h
• Number of curves: $2$
• Conductor: $6480$
• CM: no
• Rank: $0$

Elliptic curves in class 6480h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6480.i2	6480h1	\([0, 0, 0, 117, -198]\)	\(59319/40\)	\(-119439360\)	\([]\)	\(1728\)	\(0.23856\)	\(\Gamma_0(N)\)-optimal
6480.i1	6480h2	\([0, 0, 0, -1323, 21978]\)	\(-1058841/250\)	\(-60466176000\)	\([]\)	\(5184\)	\(0.78786\)

Rank

The elliptic curves in class 6480h have rank \(0\).

Complex multiplication

The elliptic curves in class 6480h do not have complex multiplication.

Modular form 6480.2.a.h

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.