Elliptic curve isogeny class with LMFDB label 51870.f (Cremona label 51870i)

• Label: 51870.f
• Number of curves: $1$
• Conductor: $51870$
• CM: no
• Rank: $1$

Elliptic curves in class 51870.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51870.f1	51870i1	\([1, 1, 0, -162858, -343886508]\)	\(-477699921678975260329/50790819477557053440\)	\(-50790819477557053440\)	\([]\)	\(2534400\)	\(2.4607\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51870.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 51870.f do not have complex multiplication.

Modular form 51870.2.a.f