Elliptic curve isogeny class with LMFDB label 58870.s (Cremona label 58870s)

• Label: 58870.s
• Number of curves: $1$
• Conductor: $58870$
• CM: no
• Rank: $1$

Elliptic curves in class 58870.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
58870.s1	58870s1	\([1, -1, 1, -2797, -56229]\)	\(-2876467955481/85750\)	\(-72115750\)	\([]\)	\(38880\)	\(0.60674\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 58870.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58870.s do not have complex multiplication.

Modular form 58870.2.a.s