Elliptic curve isogeny class with Cremona label 7488w (LMFDB label 7488.y)

• Label: 7488w
• Number of curves: $2$
• Conductor: $7488$
• CM: no
• Rank: $1$

Elliptic curves in class 7488w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7488.y1	7488w1	\([0, 0, 0, -120, 232]\)	\(256000/117\)	\(87340032\)	\([2]\)	\(2048\)	\(0.21871\)	\(\Gamma_0(N)\)-optimal
7488.y2	7488w2	\([0, 0, 0, 420, 1744]\)	\(686000/507\)	\(-6055575552\)	\([2]\)	\(4096\)	\(0.56528\)

Rank

The elliptic curves in class 7488w have rank \(1\).

Complex multiplication

The elliptic curves in class 7488w do not have complex multiplication.

Modular form 7488.2.a.w

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.