Elliptic curve isogeny class with LMFDB label 4730.i (Cremona label 4730j)

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

Elliptic curves in class 4730.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4730.i1	4730j1	\([1, 0, 0, 35, -335]\)	\(4733169839/52067840\)	\(-52067840\)	\([]\)	\(1152\)	\(0.16167\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4730.i1 has rank \(1\).

Complex multiplication

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

Modular form 4730.2.a.i