Elliptic curve isogeny class with LMFDB label 7728.j (Cremona label 7728m)

• Label: 7728.j
• Number of curves: $1$
• Conductor: $7728$
• CM: no
• Rank: $1$

Elliptic curves in class 7728.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7728.j1	7728m1	\([0, -1, 0, 145536, -14389248]\)	\(83228502970940543/69854999176704\)	\(-286126076627779584\)	\([]\)	\(95040\)	\(2.0373\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 7728.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7728.j do not have complex multiplication.

Modular form 7728.2.a.j