Elliptic curve isogeny class with LMFDB label 3006.f (Cremona label 3006d)

• Label: 3006.f
• Number of curves: $1$
• Conductor: $3006$
• CM: no
• Rank: $1$

Elliptic curves in class 3006.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3006.f1	3006d1	\([1, -1, 1, -29372, -1932937]\)	\(-3843995587427449/6390046584\)	\(-4658343959736\)	\([]\)	\(8064\)	\(1.3267\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 3006.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3006.f do not have complex multiplication.

Modular form 3006.2.a.f