Elliptic curve isogeny class with Cremona label 7728f (LMFDB label 7728.n)

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

Elliptic curves in class 7728f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7728.n1	7728f1	\([0, 1, 0, -392, 4116]\)	\(-3261064466/1917027\)	\(-3926071296\)	\([]\)	\(4800\)	\(0.54347\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 7728f1 has rank \(1\).

Complex multiplication

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

Modular form 7728.2.a.f