Elliptic curve isogeny class with LMFDB label 2006.f (Cremona label 2006f)

• Label: 2006.f
• Number of curves: $1$
• Conductor: $2006$
• CM: no
• Rank: $0$

Elliptic curves in class 2006.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2006.f1	2006f1	\([1, -1, 0, -31, 77]\)	\(-3354790473/128384\)	\(-128384\)	\([]\)	\(448\)	\(-0.25002\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2006.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2006.f do not have complex multiplication.

Modular form 2006.2.a.f