Elliptic curve isogeny class with LMFDB label 58.a (Cremona label 58a)

• Label: 58.a
• Number of curves: $1$
• Conductor: $58$
• CM: no
• Rank: $1$

Elliptic curves in class 58.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
58.a1	58a1	\([1, -1, 0, -1, 1]\)	\(-185193/116\)	\(-116\)	\([]\)	\(4\)	\(-0.90223\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 58.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58.a do not have complex multiplication.

Modular form 58.2.a.a