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Properties

Label 459186bu
Number of curves $1$
Conductor $459186$
CM no
Rank $0$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 459186bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 459186bu do not have complex multiplication.

Modular form 459186.2.a.bu

Copy content sage:E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + q^{10} - 3 q^{11} - q^{12} - q^{13} - q^{14} - q^{15} + q^{16} - 5 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 459186bu

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
459186.bu1 459186bu1 \([1, 1, 1, -6325, -225157]\) \(-47045881/8736\) \(-5196376532256\) \([]\) \(980000\) \(1.1644\) \(\Gamma_0(N)\)-optimal