Elliptic curve isogeny class with Cremona label 4998b (LMFDB label 4998.e)

• Label: 4998b
• Number of curves: $1$
• Conductor: $4998$
• CM: no
• Rank: $0$

Elliptic curves in class 4998b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4998.e1	4998b1	\([1, 1, 0, -327492, -72248112]\)	\(1617840527930521321/623760113664\)	\(1497648032907264\)	\([]\)	\(40320\)	\(1.8774\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4998b1 has rank \(0\).

Complex multiplication

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

Modular form 4998.2.a.b