Elliptic curve isogeny class with LMFDB label 4488.g (Cremona label 4488g)

• Label: 4488.g
• Number of curves: $2$
• Conductor: $4488$
• CM: no
• Rank: $1$

Elliptic curves in class 4488.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4488.g1	4488g1	\([0, 1, 0, -184, -1024]\)	\(676449508/561\)	\(574464\)	\([2]\)	\(896\)	\(0.033397\)	\(\Gamma_0(N)\)-optimal
4488.g2	4488g2	\([0, 1, 0, -144, -1440]\)	\(-162365474/314721\)	\(-644548608\)	\([2]\)	\(1792\)	\(0.37997\)

Rank

The elliptic curves in class 4488.g have rank \(1\).

Complex multiplication

The elliptic curves in class 4488.g do not have complex multiplication.

Modular form 4488.2.a.g

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.