Elliptic curve isogeny class with LMFDB label 4998.g (Cremona label 4998a)

• Label: 4998.g
• Number of curves: $1$
• Conductor: $4998$
• CM: no
• Rank: $1$

Elliptic curves in class 4998.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4998.g1	4998a1	\([1, 1, 0, -417, 3123]\)	\(-3352478521/15606\)	\(-37470006\)	\([]\)	\(1872\)	\(0.30370\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4998.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4998.g do not have complex multiplication.

Modular form 4998.2.a.g