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

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

Elliptic curves in class 4730f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4730.e1	4730f1	\([1, 1, 1, -6, 19]\)	\(-24137569/189200\)	\(-189200\)	\([]\)	\(448\)	\(-0.30456\)	\(\Gamma_0(N)\)-optimal

Rank

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

Complex multiplication

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

Modular form 4730.2.a.f