Properties

Label 450800.cw
Number of curves $1$
Conductor $450800$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("cw1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 450800.cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.cw1 450800cw1 \([0, 0, 0, 209965, 746652690]\) \(84972077055/20040095362\) \(-241428191154579251200\) \([]\) \(9289728\) \(2.5903\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800.cw1 has rank \(1\).

Complex multiplication

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

Modular form 450800.2.a.cw

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