Elliptic curve isogeny class with LMFDB label 50008.f (Cremona label 50008a)

• Label: 50008.f
• Number of curves: $1$
• Conductor: $50008$
• CM: no
• Rank: $0$

Elliptic curves in class 50008.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
50008.f1	50008a1	\([0, 1, 0, 209, 5158]\)	\(62800480256/735423899\)	\(-11766782384\)	\([]\)	\(21504\)	\(0.61330\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 50008.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 50008.f do not have complex multiplication.

Modular form 50008.2.a.f