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

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

Elliptic curves in class 1006e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1006.c1	1006e1	\([1, -1, 1, -135, 639]\)	\(-270212594625/2060288\)	\(-2060288\)	\([]\)	\(480\)	\(0.041440\)	\(\Gamma_0(N)\)-optimal

Rank

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

Complex multiplication

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

Modular form 1006.2.a.e