Elliptic curve isogeny class with LMFDB label 8470.g (Cremona label 8470j)

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

Elliptic curves in class 8470.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8470.g1	8470j1	\([1, 1, 0, 1692, -842288]\)	\(2496791/1433600\)	\(-307304891801600\)	\([]\)	\(27456\)	\(1.4590\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8470.g1 has rank \(1\).

Complex multiplication

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

Modular form 8470.2.a.g