Elliptic curve isogeny class with LMFDB label 4998.y (Cremona label 4998bb)

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

Elliptic curves in class 4998.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4998.y1	4998bb1	\([1, 1, 1, -442, 3527]\)	\(-3977954113/176256\)	\(-423190656\)	\([]\)	\(2688\)	\(0.42018\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4998.y1 has rank \(1\).

Complex multiplication

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

Modular form 4998.2.a.y