Properties

Label 450800ck
Number of curves $1$
Conductor $450800$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("ck1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 450800ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.ck1 450800ck1 \([0, -1, 0, -170193, 67339357]\) \(-144814859264/435654247\) \(-1640137168169696000\) \([]\) \(4988928\) \(2.1819\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800ck1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450800ck do not have complex multiplication.

Modular form 450800.2.a.ck

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2q^{9} + 3q^{11} + 3q^{13} + 3q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display