Elliptic curve isogeny class with LMFDB label 8050.i (Cremona label 8050j)

• Label: 8050.i
• Number of curves: $1$
• Conductor: $8050$
• CM: no
• Rank: $1$

Elliptic curves in class 8050.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8050.i1	8050j1	\([1, -1, 0, 268, 33946]\)	\(84972077055/20040095362\)	\(-501002384050\)	\([]\)	\(8064\)	\(0.92419\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8050.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8050.i do not have complex multiplication.

Modular form 8050.2.a.i