Elliptic curve isogeny class with LMFDB label 1006.b (Cremona label 1006a)

• Label: 1006.b
• Number of curves: $1$
• Conductor: $1006$
• CM: no
• Rank: $1$

Elliptic curves in class 1006.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1006.b1	1006a1	\([1, 0, 1, -2, 4]\)	\(-389017/8048\)	\(-8048\)	\([]\)	\(48\)	\(-0.56968\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1006.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1006.b do not have complex multiplication.

Modular form 1006.2.a.b