Elliptic curve isogeny class with LMFDB label 10470.b (Cremona label 10470b)

• Label: 10470.b
• Number of curves: $1$
• Conductor: $10470$
• CM: no
• Rank: $1$

Elliptic curves in class 10470.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10470.b1	10470b1	\([1, 0, 1, 1337, -111094]\)	\(264596923272599/5495493600000\)	\(-5495493600000\)	\([]\)	\(23040\)	\(1.1249\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10470.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10470.b do not have complex multiplication.

Modular form 10470.2.a.b