Elliptic curve isogeny class with LMFDB label 8470.q (Cremona label 8470bh)

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

Elliptic curves in class 8470.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8470.q1	8470bh1	\([1, -1, 1, -12, 399]\)	\(-1459161/560000\)	\(-67760000\)	\([]\)	\(5376\)	\(0.18177\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8470.q1 has rank \(1\).

Complex multiplication

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

Modular form 8470.2.a.q