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Properties

Label 462550.k
Number of curves $1$
Conductor $462550$
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 462550.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 462550.k do not have complex multiplication.

Modular form 462550.2.a.k

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

Elliptic curves in class 462550.k

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462550.k1 462550k1 \([1, 1, 0, -5855900, 5631352000]\) \(-2841193249/110000\) \(-859798522276718750000\) \([]\) \(21381120\) \(2.7863\) \(\Gamma_0(N)\)-optimal