Properties

Label 28224.cx
Number of curves $1$
Conductor $28224$
CM no
Rank $0$

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

Elliptic curves in class 28224.cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.cx1 28224w1 \([0, 0, 0, -10290, 1234114]\) \(-448000/2187\) \(-588221108782272\) \([]\) \(75264\) \(1.5185\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.cx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 28224.cx do not have complex multiplication.

Modular form 28224.2.a.cx

sage: E.q_eigenform(10)
 
\(q - 2q^{11} - q^{13} + 2q^{17} - 5q^{19} + O(q^{20})\)  Toggle raw display