Elliptic curve isogeny class with LMFDB label 4998.bd (Cremona label 4998z)

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

Elliptic curves in class 4998.bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4998.bd1	4998z1	\([1, 1, 1, -50, -1]\)	\(5764801/3264\)	\(7836864\)	\([]\)	\(1440\)	\(0.012824\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4998.bd1 has rank \(1\).

Complex multiplication

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

Modular form 4998.2.a.bd