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

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

Elliptic curves in class 58870.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
58870.l1	58870k1	\([1, -1, 0, 3623291, 13209843413]\)	\(10515969243639/156800000000\)	\(-78438637552284800000000\)	\([]\)	\(10857600\)	\(3.0737\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 58870.l1 has rank \(1\).

Complex multiplication

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

Modular form 58870.2.a.l