Properties

Label 470106bu
Number of curves $1$
Conductor $470106$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 470106bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
470106.bu1 470106bu1 \([1, -1, 0, 6816528, 453407058]\) \(408411137424575375/237392322963978\) \(-20360218695799615789338\) \([]\) \(44912640\) \(2.9701\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 470106bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 470106bu do not have complex multiplication.

Modular form 470106.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} + 3 q^{11} - q^{13} + q^{16} + 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display