Elliptic curve isogeny class with Cremona label 8470k (LMFDB label 8470.n)

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

Elliptic curves in class 8470k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8470.n1	8470k1	\([1, 0, 1, -4821853, -4076792744]\)	\(-57839429434456681/16470860000\)	\(-3530675118707660000\)	\([]\)	\(295680\)	\(2.5396\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8470k1 has rank \(1\).

Complex multiplication

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

Modular form 8470.2.a.k