Elliptic curve isogeny class with LMFDB label 8470.w (Cremona label 8470s)

• Label: 8470.w
• Number of curves: $1$
• Conductor: $8470$
• CM: no
• Rank: $1$

Elliptic curves in class 8470.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8470.w1	8470s1	\([1, 1, 1, 14, 639]\)	\(2496791/1433600\)	\(-173465600\)	\([]\)	\(2496\)	\(0.26002\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8470.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8470.w do not have complex multiplication.

Modular form 8470.2.a.w