Elliptic curve isogeny class with LMFDB label 6011.a (Cremona label 6011c)

• Label: 6011.a
• Number of curves: $1$
• Conductor: $6011$
• CM: no
• Rank: $2$

Elliptic curves in class 6011.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6011.a1	6011c1	\([0, 0, 1, -1, -4]\)	\(-110592/6011\)	\(-6011\)	\([]\)	\(308\)	\(-0.59499\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 6011.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 6011.a do not have complex multiplication.

Modular form 6011.2.a.a