Elliptic curve isogeny class with LMFDB label 4730.f (Cremona label 4730d)

• Label: 4730.f
• Number of curves: $1$
• Conductor: $4730$
• CM: no
• Rank: $1$

Elliptic curves in class 4730.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4730.f1	4730d1	\([1, -1, 1, -478, -6163]\)	\(-12054670471089/10073008000\)	\(-10073008000\)	\([]\)	\(3360\)	\(0.61724\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4730.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4730.f do not have complex multiplication.

Modular form 4730.2.a.f