Elliptic curve isogeny class with LMFDB label 6003.b (Cremona label 6003a)

• Label: 6003.b
• Number of curves: $1$
• Conductor: $6003$
• CM: no
• Rank: $1$

Elliptic curves in class 6003.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6003.b1	6003a1	\([0, 0, 1, 60, 243]\)	\(32768000/54027\)	\(-39385683\)	\([]\)	\(1024\)	\(0.14248\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 6003.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6003.b do not have complex multiplication.

Modular form 6003.2.a.b