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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("k1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 459186.k1 has rank \(0\).

Complex multiplication

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

Modular form 459186.2.a.k

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

Elliptic curves in class 459186.k

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
459186.k1 459186k1 \([1, 1, 0, 8190, -11732364]\) \(2490568928875/2441011966848\) \(-59533840859455872\) \([]\) \(4346496\) \(1.8978\) \(\Gamma_0(N)\)-optimal