Elliptic curve isogeny class with Cremona label 6690f (LMFDB label 6690.e)

• Label: 6690f
• Number of curves: $1$
• Conductor: $6690$
• CM: no
• Rank: $0$

Elliptic curves in class 6690f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6690.e1	6690f1	\([1, 0, 1, -2051948, 1692676778]\)	\(-955481890654443135203641/685056000000000000000\)	\(-685056000000000000000\)	\([]\)	\(405000\)	\(2.6978\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 6690f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6690f do not have complex multiplication.

Modular form 6690.2.a.f