Properties

Label 450800cx
Number of curves $1$
Conductor $450800$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("cx1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 450800cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.cx1 450800cx1 \([0, 0, 0, 5249125, 93331586250]\) \(84972077055/20040095362\) \(-3772315486790300800000000\) \([]\) \(46448640\) \(3.3950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800cx1 has rank \(1\).

Complex multiplication

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

Modular form 450800.2.a.cx

sage: E.q_eigenform(10)
 
\(q - 3q^{9} - 4q^{11} + 3q^{13} + q^{17} + O(q^{20})\)  Toggle raw display