Elliptic curve isogeny class with LMFDB label 1006.e (Cremona label 1006c)

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

Elliptic curves in class 1006.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1006.e1	1006c1	\([1, 0, 0, 5, 1]\)	\(13651919/8048\)	\(-8048\)	\([]\)	\(96\)	\(-0.56120\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1006.e1 has rank \(1\).

Complex multiplication

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

Modular form 1006.2.a.e