Elliptic curve isogeny class with LMFDB label 7728.s (Cremona label 7728o)

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

Elliptic curves in class 7728.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7728.s1	7728o1	\([0, 1, 0, -9840, 373716]\)	\(-25727239787761/101406816\)	\(-415362318336\)	\([]\)	\(8640\)	\(1.0869\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 7728.s1 has rank \(1\).

Complex multiplication

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

Modular form 7728.2.a.s